Zobrazeno 1 - 10
of 1 338
pro vyhledávání: '"14J32"'
Autor:
Dummigan, Neil, Tornaría, Gonzalo
We prove congruences of Hecke eigenvalues between cuspidal Hilbert newforms $f_{79}$ and $h_{79}$ over $F=\mathbb Q(\sqrt{5})$, of weights (2,2) and (2,4) respectively, level of norm 79. In the main example, the modulus is a divisor of 5 in some coef
Externí odkaz:
http://arxiv.org/abs/2412.14289
Autor:
Jiang, Chen, Ren, Peng
We give a criterion for slope-stability of the syzygy bundle of a globally generated ample line bundle on a smooth projective variety of Picard number $1$ in terms of Hilbert polynomial. As applications, we prove the stability of syzygy bundles on ma
Externí odkaz:
http://arxiv.org/abs/2412.00476
In this paper, we classify irregular threefolds with numerically trivial canonical divisors in positive characteristic. For such a variety, if its Albanese dimension is not maximal, then the Albanese morphism will induce a fibration which either maps
Externí odkaz:
http://arxiv.org/abs/2409.19973
Autor:
Donovan, W.
Given a crepant contraction f to a singularity X, we may expect a derived symmetry of the source of f. Under easily-checked geometric assumptions, I construct such a symmetry when X is a hypersurface in a smooth ambient S, using a spherical functor f
Externí odkaz:
http://arxiv.org/abs/2409.19555
Autor:
Chen, Chongyao, Deng, Haohua
We present a method for computing the generic degree of a period map defined on a quasi-projective surface. As an application, we explicitly compute the generic degree of three period maps underlying families of Calabi-Yau 3-folds coming from toric h
Externí odkaz:
http://arxiv.org/abs/2408.12090
Autor:
Gegelia, Nutsa, van Straten, Duco
In this note we report on the conjectural identification of paramodular forms from Calabi-Yau motives of Hodge type (1, 1, 1, 1) of moderately low conductor. We calculate Euler factors from Calabi-Yau operators from the AESZ database by the method de
Externí odkaz:
http://arxiv.org/abs/2408.10183
Autor:
Kelly, Tyler L., Malter, Aimeric
We study the exoflop introduced by Aspinwall. Here, an exoflop takes a gauged Landau-Ginzburg (LG) model, partially compactifies it, and then performs certain birational transformations on it. When certain criteria hold, this can provide a crepant ca
Externí odkaz:
http://arxiv.org/abs/2407.19822
Autor:
Brantner, Lukas, Taelman, Lenny
We study deformations of Calabi-Yau varieties in characteristic $p$ using techniques from derived algebraic geometry. We prove a mixed characteristic analogue of the Bogomolov-Tian-Todorov theorem (which states that Calabi-Yau varieties in characteri
Externí odkaz:
http://arxiv.org/abs/2407.09256
Autor:
Delcroix, Thibaut, Hultgren, Jakob
We prove optimal transport stability (in the sense of Andreasson and the second author) for reflexive Weyl polytopes: reflexive polytopes which are convex hulls of an orbit of a Weyl group. When the reflexive Weyl polytope is Delzant, it follows from
Externí odkaz:
http://arxiv.org/abs/2406.02068
Autor:
Moraga, Joaquín
We study the birational complexity of log Calabi-Yau $3$-folds. For such a pair $(X,B)$ of index one and coregularity zero, we show that $c_{\rm bir}(X,B)\in \{0,2,3\}$. Further, we prove that $(X,B)$ has a log Calabi-Yau crepant birational model tha
Externí odkaz:
http://arxiv.org/abs/2405.18516