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Derived Algebraic Geometry [PDF]

open access: yesEMS 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.Comment: Final version.
Toën, Bertrand
core   +8 more sources

Algebraic Geometry

open access: yesWiley Encyclopedia of Computer Science and Engineering, 2022
We compute the fundamental group of an algebraic link. To cite this article: O. Neto, P.C. Silva, C. R. Acad. Sci. Paris, Ser. I 340 (2005).  2004 Académie des sciences. Published by Elsevier SAS. All rights reserved.
David A. Cox
semanticscholar   +4 more sources

Prime factorization using quantum annealing and computational algebraic geometry. [PDF]

open access: yesSci Rep, 2017
We investigate prime factorization from two perspectives: quantum annealing and computational algebraic geometry, specifically Gröbner bases. We present a novel autonomous algorithm which combines the two approaches and leads to the factorization of all ...
Dridi R, Alghassi H.
europepmc   +3 more sources

Classical Algebraic Geometry [PDF]

open access: yesOberwolfach Reports, 2019
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.
O. Debarre   +3 more
semanticscholar   +3 more sources

Phylogenetic Algebraic Geometry [PDF]

open access: yes, 2004
Phylogenetic algebraic geometry is concerned with certain complex projective algebraic varieties derived from finite trees. Real positive points on these varieties represent probabilistic models of evolution.
Eriksson, Nicholas   +3 more
core   +2 more sources

Geometry on arc spaces of algebraic varieties [PDF]

open access: green, 2000
This paper is a survey on arc spaces, a recent topic in algebraic geometry and singularity theory. The geometry of the arc space of an algebraic variety yields several new geometric invariants and brings new light to some classical invariants.Comment: 22
Jan Denef, François Loeser
openalex   +5 more sources

The Loss Surface of Deep Linear Networks Viewed Through the Algebraic Geometry Lens [PDF]

open access: yesIEEE Transactions on Pattern Analysis and Machine Intelligence, 2018
By using the viewpoint of modern computational algebraic geometry, we explore properties of the optimization landscapes of deep linear neural network models.
D. Mehta   +3 more
semanticscholar   +1 more source

Algebraic Geometry over Heyting Algebras [PDF]

open access: yesJournal 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 ...
openaire   +2 more sources

Geometrically rational real conic bundles and very transitive actions [PDF]

open access: yes, 2009
In this article we study the transitivity of the group of automorphisms of real algebraic surfaces. We characterize real algebraic surfaces with very transitive automorphism groups.
Biswas   +8 more
core   +7 more sources

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