D-brane masses at special fibres of hypergeometric families of Calabi-Yau threefolds, modular forms, and periods. (English) Zbl 1540.14078
Reviewer: Noriko Yui (Kingston)
Found 438 Documents (Results 1–100)
Brauer-Manin obstructions requiring arbitrarily many Brauer classes. (English) Zbl 1540.14052
Reviewer: Sami Omar (Sukhair)
On the Brauer groups of fibrations. (English) Zbl 07841457
Reviewer: Denis Ibadula (Constanța)
Fields of moduli and the arithmetic of tame quotient singularities. (English) Zbl 1540.14022
Reviewer: Eric Ahlqvist (Edinburgh)
On the component group of the algebraic monodromy group of a \(K3\) surface. (English) Zbl 1540.14044
Reviewer: Dino Festi (Milano)
An arithmetic valuative criterion for proper maps of tame algebraic stacks. (English) Zbl 07807434
Reviewer: Yao Yuan (Beijing)
Polyrate 2023: a computer program for the calculation of chemical reaction rates for polyatomics. New version announcement. (English) Zbl 1534.81170
On p-torsions of geometric Brauer groups. arXiv:2406.19518
Preprint, arXiv:2406.19518 [math.AG] (2024).
Algebroid maps and hyperbolicity of symmetric powers. arXiv:2406.00835
Preprint, arXiv:2406.00835 [math.AG] (2024).
Belyi’s theorem for smooth complete intersections of general type in generalised Grassmannians and weighted projective spaces. arXiv:2401.06955
Preprint, arXiv:2401.06955 [math.AG] (2024).
Noninvariance of weak approximation properties under extension of the ground field. (English) Zbl 07787848
A Chabauty-Coleman bound for surfaces. (English) Zbl 1536.11100
Reviewer: Stanley Yao Xiao (Waterloo, ON)
A \(K3\) surface related to Leonardo Pisano’s work on congruent numbers. (English) Zbl 1525.14047
Reviewer: Noriko Yui (Kingston)
Arithmetic of Châtelet surface bundles revisited. (English) Zbl 1525.14028
Reviewer: Felipe Gambardella (Paris)
Explicit families of \(K3\) surfaces having real multiplication. (English) Zbl 1522.14051
Reviewer: Dino Festi (Milano)
Groups of symplectic involutions on symplectic varieties of Kummer type and their fixed loci. (English) Zbl 1533.14015
Reviewer: Adrian Langer (Warszawa)
Semiampleness for Calabi-Yau surfaces in positive and mixed characteristic. (English) Zbl 1537.14024
The super Frobenius-Schur indicator and finite group gauge theories on \(\mathrm{pin}^-\) surfaces. (English) Zbl 1522.81121
Free rational curves on low degree hypersurfaces and the circle method. (English) Zbl 1524.14059
Reviewer: B. Z. Moroz (Bonn)
Integral points on elliptic curves with \(j\)-invariant \(0\) over \(k(t)\). arXiv:2306.11353
Preprint, arXiv:2306.11353 [math.AG] (2023).
Tori and surfaces violating a local-to-global principle for rationality. arXiv:2305.03481
Preprint, arXiv:2305.03481 [math.AG] (2023).
Frobenius trace distributions for \(K3\) surfaces. (English) Zbl 1508.14039
Reviewer: Noriko Yui (Kingston)
Classifying sections of del Pezzo fibrations. II. (English) Zbl 1504.14054
Reviewer: Edoardo Ballico (Povo)
Möbius cancellation on polynomial sequences and the quadratic Bateman-Horn conjecture over function fields. (English) Zbl 1503.11077
Reviewer: B. Z. Moroz (Bonn)
On the Mumford-Tate conjecture for hyperkähler varieties. (English) Zbl 1493.14008
Reviewer: Simone Billi (Bologna)
Adelic geometry on arithmetic surfaces. I: Idelic and adelic interpretation of the Deligne pairing. (English) Zbl 1498.14062
Codimension two integral points on some rationally connected threefolds are potentially dense. (English) Zbl 1492.14072
Reviewer: Noriko Yui (Kingston)
Numerical equivalence of \(\mathbb{R} \)-divisors and Shioda-Tate formula for arithmetic varieties. (English) Zbl 1502.11073
Reviewer: David McKinnon (Waterloo)
Projective toric codes. (English) Zbl 1535.94094
Sur l’injectivité de l’application cycle de Jannsen. arXiv:2212.05761
Preprint, arXiv:2212.05761 [math.AG] (2022).
Computing heights via limits of Hodge structures. arXiv:2208.00017
Preprint, arXiv:2208.00017 [math.AG] (2022).
The Tate Conjecture for even dimensional Gushel-Mukai varieties in characteristic \(p\geq 5\). arXiv:2207.01122
Preprint, arXiv:2207.01122 [math.AG] (2022).
Bounds on the minimum distance of algebraic geometry codes defined over some families of surfaces. (English) Zbl 1497.14043
Ballet, Stéphane (ed.) et al., Arithmetic, geometry, cryptography and coding theory, AGC2T, 17th international conference, Centre International de Rencontres Mathématiques, Marseilles, France, June 10–14, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 770, 11-28 (2021).
Arithmetic ampleness and an arithmetic Bertini theorem. (Amplitude arithmétique et théorème de Bertini.) (English. French summary) Zbl 1492.14043
Reviewer: Ana María Botero (Regensburg)
Linearization of transition functions of a semi-positive line bundle along a certain submanifold. (Linéarisation des fonctions de transition D’Un Fibré en droites semi-positif le long d’une certaine sous-variété.) (English. French summary) Zbl 1495.32054
Reviewer: Antonella Nannicini (Firenze)
Toroidal compactification: the generalised ball case. (English) Zbl 1475.14099
Ji, LizhenTung (ed.) et al., Moduli spaces and locally symmetric spaces. Based on two workshops, Morningside Center of Mathematics, Beijing, China, February 2017 and March 2019. Somerville, MA: International Press; Beijing: Higher Education Press. Surv. Mod. Math. 16, 107-133 (2021).
On automorphisms and the cone conjecture for Enriques surfaces in odd characteristic. (English) Zbl 1475.14076
Non-Ulrich representation type. (English) Zbl 1475.14079
Reviewer: Joan Pons-Llopis (Maó)
Complex surfaces with mutually non-biholomorphic universal covers. (English) Zbl 1464.32029
Comparin, Paola (ed.) et al., Geometry at the frontier. Symmetries and moduli spaces of algebraic varieties. 2016–2018 workshops, Universidad de la Frontera, Pucón, Chile, November 2016, November 2017, November 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 766, 153-162 (2021).
Tate’s conjecture and the Tate-Shafarevich group over global function fields. (English) Zbl 1481.11067
Reviewer: Ana María Botero (Regensburg)
New directions in the minimal model program. (English) Zbl 1466.14018
Reviewer: João Paulo Figueredo (São Paulo)
Sixteen points in \(\mathbb{P}^4\) and the inverse Galois problem for del Pezzo surfaces of degree one. arXiv:2109.14106
Preprint, arXiv:2109.14106 [math.NT] (2021).
Crystalline aspects of geography of low dimensional varieties. I: Numerology. (English) Zbl 1506.14041
Hyperbolicity of varieties of log general type. (English) Zbl 1470.11179
Nicole, Marc-Hubert (ed.), Arithmetic geometry of logarithmic pairs and hyperbolicity of moduli spaces. Hyperbolicity in Montréal. Based on three workshops, Montréal, Canada, 2018–2019. Cham: Springer. CRM Short Courses, 197-247 (2020).
Deformations of rational curves in positive characteristic. (English) Zbl 1475.14063
Reviewer: Eugenii I. Shustin (Tel Aviv)
Algebraic varieties are homeomorphic to varieties defined over number fields. (English) Zbl 1454.14147
Galois action on universal covers of Kodaira fibrations. (English) Zbl 1442.32024
Reviewer: Victor Zvonilov (Nizhny Novgorod)
Adelic geometry on arithmetic surfaces. II: Completed adeles and idelic Arakelov intersection theory. (English) Zbl 1444.14054
Reviewer: Ana María Botero (Regensburg)
Parallel transport for vector bundles on \(p\)-adic varieties. (English) Zbl 1473.14068
Reviewer: Yun Hao (Berlin)
Defining fields of special supersingular \(K3\) surfaces. (Korean. English summary) Zbl 1431.14029
Reviewer: Remke Kloosterman (Padova)
The non-symplectic index of supersingular \(K3\) surfaces. (English) Zbl 1471.14078
Reviewer: Luca Giovenzana (Chemnitz)
On the rationality of Kawamata log terminal singularities in positive characteristic. (English) Zbl 1439.14056
Reviewer: Chen Jiang (Shanghai)
Vanishing theorems and Brauer-Hasse-Noether exact sequences for the cohomology of higher-dimensional fields. (English) Zbl 1454.11201
Reviewer: Mouad Moutaoukil (Fès)
On the frequency of algebraic Brauer classes on certain log \(K3\)- surfaces. (English) Zbl 1436.14045
Reviewer: D. R. Heath-Brown (Garsington)
A uniform bound on the Brauer groups of certain log \(K3\) surfaces. (English) Zbl 1420.14084
Reviewer: Remke Kloosterman (Padova)
Cohomology and torsion cycles over the maximal cyclotomic extension. (English) Zbl 1422.11142
Reviewer: Fumio Hazama (Hatoyama)
Stably rational surfaces over a quasi-finite field. (English. French original) Zbl 1448.14049
Izv. Math. 83, No. 3, 521-533 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 3, 113-126 (2019).
Automorphisms of cubic surfaces in positive characteristic. (English. Russian original) Zbl 1427.14086
Izv. Math. 83, No. 3, 424-500 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 3, 15-92 (2019).
Reviewer: Jin-Xing Cai (Beijing)
Plane quartics with a Galois-invariant Steiner hexad. (English) Zbl 1428.14047
Reviewer: David McKinnon (Waterloo)
Period-index bounds for arithmetic threefolds. (English) Zbl 1436.14040
Reviewer: Charlotte Ure (Charlottesville)
Integral points and orbits of endomorphisms on the projective plane. (English) Zbl 1436.11075
Reviewer: Dimitros Poulakis (Thessaloniki)
Stable rationality of quadric and cubic surface bundle fourfolds. (English) Zbl 1444.14029
Reviewer: Sophie Kriz (Ann Arbor)
Varieties over finite fields: quantitative theory. (English. Russian original) Zbl 1427.14052
Russ. Math. Surv. 73, No. 2, 261-322 (2018); translation from Usp. Mat. Nauk 73, No. 2, 75-140 (2018).
Semiorthogonal decompositions and birational geometry of del Pezzo surfaces over arbitrary fields. (English) Zbl 1435.14015
Reviewer: Tanya Srivastava (Klosterneuburg)
The determinant and the discriminant of a complete intersection of even dimension. (English) Zbl 1400.14127
Reviewer: Yigeng Zhao (Regensburg)
Toric surfaces over an arbitrary field. (English) Zbl 1405.14087
Reviewer: Piotr Krasoń (Szczecin)
A note on the derived category of Enriques surfaces in characteristic 2. (English) Zbl 1428.14067
Reviewer: Daniel Bragg (Berkeley)
Arbitrarily large Galois orbits of non-homeomorphic surfaces. (English) Zbl 1403.14071
Reviewer: Nithi Rungtanapirom (Frankfurt am Main)
Families of Riemann surfaces, uniformization and arithmeticity. (English) Zbl 1386.32015
Reviewer: Gianluca Faraco (Bologna)
On subadditivity of Kodaira dimension in positive characteristic over a general type base. (English) Zbl 1397.14030
Reviewer: Fabio Bernasconi (London)
Conic bundles that are not birational to numerical Calabi-Yau pairs. (Fibrés en coniques qui ne sont pas birationnels à des paires de Calabi-Yau numériques.) (English. French summary) Zbl 1494.14053
The modularity/automorphy of Calabi-Yau varieties of CM type. (English) Zbl 1397.14049
Li, Si (ed.) et al., String-Math 2015. Proceedings of the conference, Tsinghua Sanya International Mathematics Forum in Sanya, China, December 31, 2015 – January 4, 2016. Providence, RI: American Mathematical Society (AMS); Boston, MA: International Press (ISBN 978-1-4704-2951-5/hbk; 978-1-4704-4276-7/ebook). Proceedings of Symposia in Pure Mathematics 96, 265-297 (2017).
Positive characteristic algebraic geometry. (English) Zbl 1398.14041
Coskun, Izzet (ed.) et al., Surveys on recent developments in algebraic geometry. Bootcamp for the 2015 summer research institute on algebraic geometry, University of Utah, Salt Lake City, UT, USA, July 6–10, 2015. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3557-8/hbk; 978-1-4704-4121-0/ebook). Proceedings of Symposia in Pure Mathematics 95, 33-80 (2017).
Minimal cubic surfaces over finite fields. (English. Russian original) Zbl 1426.11065
Sb. Math. 208, No. 9, 1399-1419 (2017); translation from Mat. Sb. 208, No. 9, 148-170 (2017).
Around the Zilber-Pink conjecture. (Autour de la conjecture de Zilber-Pink.) (English, French) Zbl 1375.11003
Panoramas et Synthèses 52. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-856-5/pbk). xiv, 284 p. (2017).
On a local-global principle for \(H^3\) of function fields of surfaces over a finite field. (English) Zbl 1390.12005
Auel, Asher (ed.) et al., Brauer groups and obstruction problems. Moduli spaces and arithmetic. Basel: Birkhäuser/Springer (ISBN 978-3-319-46851-8/hbk; 978-3-319-46852-5/ebook). Progress in Mathematics 320, 219-230 (2017).
Reviewer: Detlev Hoffmann (Dortmund)
Retracted article: Some pathologies of Fano manifolds in positive characteristic. (English) Zbl 1371.14048
Rational points on the intersection of three quadrics. (English) Zbl 1373.14023
Reviewer: Boris Kunyavskii (Ramat Gan)
On the projectivity of the moduli space of stable surfaces in characteristic p>5. arXiv:1710.03818
Preprint, arXiv:1710.03818 [math.AG] (2017).
Proof of Serge Lang’s Heights Conjecture and an almost optimal Bound for the Torsion of Elliptic Curves. arXiv:1701.07433
Preprint, arXiv:1701.07433 [math.NT] (2017).
MSC:
11G50
11D75
11D99
11G05
11G07
11G99
11H99
11J25
11J68
11J81
11J82
11J86
11J99
14G05
14G22
14G25
14G40
14G99
14H52
14H99
14J20
14K15
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