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Derived algebraic geometry [PDF]
EMS Surveys in Mathematical Sciences, 2014 This text is a survey of derived algebraic geometry. It covers a variety of general notions and results from the subject with a view on the recent developments at the interface with deformation quantization.
Toën, Bertrand
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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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Phylogenetic algebraic geometry [PDF]
, 2005 15 pages, 7 ...
Eriksson, Nicholas +3 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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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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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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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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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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