Results 1 to 10 of about 8,666 (138)
Identifiability and numerical algebraic geometry. [PDF]
PLoS ONE, 2019 A common problem when analyzing models, such as mathematical modeling of a biological process, is to determine if the unknown parameters of the model can be determined from given input-output data.
Daniel J Bates +2 more
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Polymorphism-homogeneity and universal algebraic geometry [PDF]
Discrete Mathematics & Theoretical Computer Science, 2022 We assign a relational structure to any finite algebra in a canonical way, using solution sets of equations, and we prove that this relational structure is polymorphism-homogeneous if and only if the algebra itself is polymorphism-homogeneous.
Endre Tóth, Tamás Waldhauser
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Complex reflection groups and K3 surfaces I [PDF]
Épijournal de Géométrie Algébrique, 2021 We construct here many families of K3 surfaces that one can obtain as quotients of algebraic surfaces by some subgroups of the rank four complex reflection groups. We find in total 15 families with at worst $ADE$--singularities. In particular we classify
Cédric Bonnafé, Alessandra Sarti
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On Bloch’s map for torsion cycles over non-closed fields
Forum of Mathematics, Sigma, 2023 We generalize Bloch’s map on torsion cycles from algebraically closed fields to arbitrary fields. While Bloch’s map over algebraically closed fields is injective for zero-cycles and for cycles of codimension at most two, we show that the generalization ...
Theodosis Alexandrou, Stefan Schreieder
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Factorization of the Abel-Jacobi maps [PDF]
Épijournal de Géométrie Algébrique, 2021 As an application of the theory of Lawson homology and morphic cohomology, Walker proved that the Abel-Jacobi map factors through another regular homomorphism. In this note, we give a direct proof of the theorem.
Fumiaki Suzuki
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Classical Algebraic Geometry [PDF]
Oberwolfach Reports, 2005 The worshop on Classical Algebraic Geometry, organized by David Eisenbud (Berkeley), Joe Harris (Harvard) and Frank-Olaf Schreyer (Saarbrücken) was well attended by important senior researchers and many gifted young mathematicians. Classical Algebraic Geometry is characterized by having very basic and concrete problems.
David Eisenbud +2 more
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Explicit equations of the Cartwright-Steger surface [PDF]
Épijournal de Géométrie Algébrique, 2020 We construct explicit equations of Cartwright-Steger and related surfaces.
Lev A. Borisov, Sai-Kee Yeung
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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
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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
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The construction problem for Hodge numbers modulo an integer in positive characteristic
Forum of Mathematics, Sigma, 2020 Let k be an algebraically closed field of positive characteristic. For any integer $m\ge 2$ , we show that the Hodge numbers of a smooth projective k-variety can take on any combination of values modulo m, subject only to Serre duality.
Remy van Dobben de Bruyn +1 more
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