Results 11 to 20 of about 1,944,105 (329)
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.
Bates DJ, Hauenstein JD, Meshkat N.
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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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Conic bundle structures on Q-Fano threefolds
Electronic Research Archive, 2022 We obtain a sufficient condition for a Fano threefold with terminal singularities to have a conic bundle structure.
Yuri Prokhorov
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Exceptional collections on certain Hassett spaces [PDF]
Épijournal de Géométrie Algébrique, 2021 We construct an $S_2\times S_n$ invariant full exceptional collection on Hassett spaces of weighted stable rational curves with $n+2$ markings and weights $(\frac{1}{2}+\eta, \frac{1}{2}+\eta,\epsilon,\ldots,\epsilon)$, for ...
Ana-Maria Castravet, Jenia Tevelev
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Smoothability of relative stable maps to stacky curves [PDF]
Épijournal de Géométrie Algébrique, 2023 Using log geometry, we study smoothability of genus zero twisted stable maps to stacky curves relative to a collection of marked points. One application is to smoothing semi-log canonical fibered surfaces with marked singular fibers.
Kenneth Ascher, Dori Bejleri
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On the motive of O'Grady's six dimensional hyper-K\"{a}hler varieties [PDF]
Épijournal de Géométrie Algébrique, 2023 We prove that the rational Chow motive of a six dimensional hyper-K\"{a}hler variety obtained as symplectic resolution of O'Grady type of a singular moduli space of semistable sheaves on an abelian surface $A$ belongs to the tensor category of motives ...
Salvatore Floccari
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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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Abundance for slc surfaces over arbitrary fields [PDF]
Épijournal de Géométrie Algébrique, 2023 We prove the abundance conjecture for projective slc surfaces over arbitrary fields of positive characteristic. The proof relies on abundance for lc surfaces over abritrary fields, proved by Tanaka, and on the technique of Hacon and Xu to descend semi ...
Quentin Posva
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