Results 71 to 80 of about 308 (156)
Zero-cycles and cohomology on real algebraic varieties
Let X be an algebraic variety over R, the field of real numbers. The interplay between the topology of the set of real points X(R) and the algebraic geometry of X has been the object of much study (Harnack, Weichold, Witt, Geyer, Artin/Verdier and Cox ...
Scheiderer, C., Colliot-Thélène, J.-L.
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Twisted ambidexterity in equivariant homotopy theory
Abstract We develop the concept of twisted ambidexterity in a parametrized presentably symmetric monoidal ∞$\infty$‐category, which generalizes the notion of ambidexterity by Hopkins and Lurie and the Wirthmüller isomorphisms in equivariant stable homotopy theory, and is closely related to Costenoble–Waner duality.
Bastiaan Cnossen
wiley +1 more source
Topology of algebraic curves: an approach via dessins d'enfants
The book summarizes the state and new results on the topology of trigonal curves in geometrically ruled surfaces. Emphasis is placed upon various applications of the theory to related areas, most notably singularplane curves of small degree, elliptic ...
Degtyarev, Alex
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The polynomial method over varieties [PDF]
Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelona, Any: 2019, Director: Martín Sombra[en] In 2010, Guth and Katz introduced the polynomial partitioning theorem as a tool in incidence geometry and in ...
Rovira Cisterna, Sergi
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This is the first attempt of a systematic study of real Enriques surfaces culminating in their classification up to deformation. Simple explicit topological invariants are elaborated for identifying the deformation classes of real Enriques surfaces. Some
Itenberg, Ilia +2 more
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Real and Logarithmic Enumerative Geometry
Key topics of the workshop included enumerative geometry, Gromov–Witten invariants, and their extensions to general ground fields and tropical counting.
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The Equivariant Geometry of Nilpotent Orbits and Associated Varieties
Nilpotent orbits are highly structured algebraic varieties lying at the interface of algebraic geometry, Lie theory, symplectic geometry, and geometric representation theory.
Crooks, Peter
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Viro theorem and topology of real and complex combinatorial hypersurfaces
In this quite long and very well structured article the authors introduce the notion of combinatorial hypersurfaces, which are codimension 2 submanifolds of $\bbfC \bbfP^n$ invariant under complex conjugation whose real parts are codimension 1 ...
Itenberg, Ilia, Shustin, Eugenii
core
The Wu relations in real algebraic geometry
We construct and study relations between Chern classes and Galois cohomology classes in the Gal(C/R)-equivariant cohomology of real algebraic varieties with no real points. We give applications to the topology of their sets of complex points, and to sums
Wittenberg, Olivier, Benoist, Olivier
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