Zobrazeno 1 - 10
of 239
pro vyhledávání: '"14B12"'
Autor:
Marie, Emeryck
In this paper, we prove the smoothness of the functors of locally trivial deformations, flat deformations and log smooth deformations for irreducible type II degeneration of complex abelian surfaces.
Comment: 44 pages
Comment: 44 pages
Externí odkaz:
http://arxiv.org/abs/2410.10583
Autor:
Kunzweiler, Sabrina, Robert, Damien
We present an unconditional CRT algorithm to compute the modular polynomial $\Phi_\ell(X,Y)$ in quasi-linear time. The main ingredients of our algorithm are: the embedding of $\ell$-isogenies in smooth-degree isogenies in higher dimension, and the co
Externí odkaz:
http://arxiv.org/abs/2408.06990
Autor:
Penegini, Matteo, Pignatelli, Roberto
We compute the automorphism group of all the elements of a family of surfaces of general type with $p_g=q=2$ and $K^2=7$, originally constructed by C. Rito. We discuss the consequences of our results towards the Mumford-Tate conjecture.
Comment:
Comment:
Externí odkaz:
http://arxiv.org/abs/2407.19206
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:
Iacono, Donatella, Martinengo, Elena
We analyse infinitesimal deformations of morphisms of locally free sheaves on a smooth projective variety $X$ over an algebraically closed field of characteristic zero. In particular, we describe a differential graded Lie algebra controlling the defo
Externí odkaz:
http://arxiv.org/abs/2312.09677
Autor:
Wang, Yidi
In this manuscript, we present a partial generalization of the field patching technique initially proposed by Harbater-Hartmann to Hensel semi-global fields, i.e., function fields of curves over excellent henselian discretely valued fields. More spec
Externí odkaz:
http://arxiv.org/abs/2310.20119
Autor:
van de Kreeke, Jasper
Handling curved $ A_\infty $-deformations is challenging and defining their derived categories seems impossible. In this paper, we show how to welcome the curvature and build derived categories despite the apparent difficulties. We explicitly describ
Externí odkaz:
http://arxiv.org/abs/2308.08026
Autor:
Stiefenhofer, Matthias
We give conditions for local diagonalization of analytic operator families acting between real or complex Banach spaces. The transformations are constructed from an operator Toeplitz matrix obtained from Jordan chains of increasing length. The basic
Externí odkaz:
http://arxiv.org/abs/2305.14228
Autor:
Heuberger, Liana, Petracci, Andrea
We analyse the local structure of the K-moduli space of Fano varieties at a toric singular K-polystable Fano 3-fold, which deforms to smooth Fano 3-folds with anticanonical volume 28 and Picard rank 4. In particular, by constructing an algebraic defo
Externí odkaz:
http://arxiv.org/abs/2303.12562
Autor:
Genzmer, Yohann, Mol, Rogério
In this article we prove that every germ of analytic meromorphic function at $(\mathbb{C}^{2},0)$ is equivalent, under the right composition by a germ of biholomorphism, to a germ of algebraic meromorphic function. An analogous result is also true fo
Externí odkaz:
http://arxiv.org/abs/2302.12860