Results 11 to 20 of about 309,815 (270)
Phylogenetic algebraic geometry [PDF]
, 2005 15 pages, 7 ...
Eriksson, Nicholas +3 more
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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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Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc +2 more sources
Formalization and Implementation of Algebraic Methods in Geometry [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 We describe our ongoing project of formalization of algebraic methods for geometry theorem proving (Wu's method and the Groebner bases method), their implementation and integration in educational tools.
Filip Marić +3 more
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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
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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
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Hilbert-Mumford stability on algebraic stacks and applications to $\mathcal{G}$-bundles on curves [PDF]
Épijournal de Géométrie Algébrique, 2018 In these notes we reformulate the classical Hilbert-Mumford criterion for GIT stability in terms of algebraic stacks, this was independently done by Halpern-Leinster.
Jochen Heinloth
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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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Algebraic Geometry over Heyting Algebras [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2020 In this article, we study the algebraic geometry over Heyting algebras and we investigate the properties of being equationally Noetherian and qω-compact over such ...
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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
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