Results 41 to 50 of about 1,900,626 (355)
The conjectures of Artin-Tate and Birch-Swinnerton-Dyer [PDF]
Épijournal de Géométrie Algébrique, 2022 We provide two proofs that the conjecture of Artin-Tate for a fibered surface is equivalent to the conjecture of Birch-Swinnerton-Dyer for the Jacobian of the generic fibre.
S. Lichtenbaum +2 more
doaj +1 more source
How to glue derived categories
Bulletin of Mathematical Sciences, 2018 We give an overview of existing enhancement techniques for derived and trianguated categories based on the notion of a stable model category, and show how it can be applied to the problem of gluing triangulated categories.
D. Kaledin
doaj +1 more source
Stable rationality of higher dimensional conic bundles [PDF]
Épijournal de Géométrie Algébrique, 2018 We prove that a very general nonsingular conic bundle $X\rightarrow\mathbb{P}^{n-1}$ embedded in a projective vector bundle of rank $3$ over $\mathbb{P}^{n-1}$ is not stably rational if the anti-canonical divisor of $X$ is not ample and $n\geq 3$.
Hamid Ahmadinezhad, Takuzo Okada
doaj +1 more source
Serre-invariant stability conditions and Ulrich bundles on cubic threefolds [PDF]
Épijournal de Géométrie Algébrique, 2023 We prove a general criterion which ensures that a fractional Calabi--Yau category of dimension $\leq 2$ admits a unique Serre-invariant stability condition, up to the action of the universal cover of $\text{GL}^+_2(\mathbb{R})$.
Soheyla Feyzbakhsh, Laura Pertusi
doaj +1 more source
Limits of the trivial bundle on a curve [PDF]
Épijournal de Géométrie Algébrique, 2018 We attempt to describe the rank 2 vector bundles on a curve C which are specializations of the trivial bundle. We get a complete classifications when C is Brill-Noether generic, or when it is hyperelliptic; in both cases all limit vector bundles are ...
Arnaud Beauville
doaj +1 more source
Families of stable 3-folds in positive characteristic [PDF]
Épijournal de Géométrie Algébrique, 2023 We show that flat families of stable 3-folds do not lead to proper moduli spaces in any characteristic $p>0$. As a byproduct, we obtain log canonical 4-fold pairs, whose log canonical centers are not weakly normal.
János Kollár
doaj +1 more source
Non-commutative algebraic geometry of semi-graded rings [PDF]
International journal of algebra and computation, 2016 In this paper we introduce the semi-graded rings, which extend graded rings and skew PBW extensions. For this new type of non-commutative rings we will discuss some basic problems of non-commutative algebraic geometry.
O. Lezama, Edward Latorre
semanticscholar +1 more source
Applications of Algebraic Combinatorics to Algebraic Geometry [PDF]
Indagationes Mathematicae, 2021 We formulate a number of new results in Algebraic Geometry and outline their derivation from Theorem 2.12 which belongs to Algebraic Combinatorics.
David Kazhdan, Tamar Ziegler
openaire +3 more sources
Information Decomposition and Synergy
Entropy, 2015 Recently, a series of papers addressed the problem of decomposing the information of two random variables into shared information, unique information and synergistic information.
Eckehard Olbrich +2 more
doaj +1 more source
On a theorem of Campana and P\u{a}un [PDF]
Épijournal de Géométrie Algébrique, 2017 Let $X$ be a smooth projective variety over the complex numbers, and $\Delta \subseteq X$ a reduced divisor with normal crossings. We present a slightly simplified proof for the following theorem of Campana and P\u{a}un: If some tensor power of the ...
Christian Schnell
doaj +1 more source