Results 91 to 100 of about 2,492,523 (198)

Symbolic computation in algebra, geometry, and differential equations

Information and Computation
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Non-commutative complex differential geometry

, 2013
The paper sets out the theory of noncommutative complex differential structures, and relates it to the existing literature on noncommutative algebraic geometry.
Edwin Beggs
core   +1 more source

Introduction to Derived Algebraic Geometry

openDerived Algebraic Geometry arises from the interplay between classical algebraic geometry, homotopy theory, and higher category theory. Building on the work of Grothendieck, Verdier, and Illusie, the theory developed through Quillen’s homotopical ...
DE PIERI, JACOPO
core  

Geometric Structures and Substructures on Uniruled Projective Manifolds

, 2016
In a series of works on uniruled projective manifolds starting in the late 1990’s, Jun-Muk Hwang and the author have developed the basics of a geometric theory of uniruled projective manifolds arising from the study of varieties of minimal rational ...
Mok, N, Ngaiming Mok
core   +1 more source

Competitive Equilibria in Semi-Algebraic Economies [PDF]

This paper examines the equilibrium correspondence in Arrow-Debreu exchange economies with semi-algebraic preferences. We show that a generic semi-algebraic exchange economy gives rise to a square system of polynomial equations with finitely many ...
Karl Schmedders, Felix Kuber
core  

The “projective spirit” in Segre’s lectures on differential equations.

, 2022
The “projective spirit” was undoubtedly a characteristic of Italian research in mathematics in the period 1860-1940, which pervades the successful researches of Luigi Cremona in projective geometry and Corrado Segre, Guido Castelnuovo, Federigo Enriques ...
Rogora
core  

Differential structures in algebraic geometry

, 2000
Cette thèse a pour objet d'une part l'étude de certaines structures différentielles sur les variétés algébriques complexes et d'autre part l'étude de faisceaux sur les hypersur-faces cubiques de l'espace projectif complexe de dimension quatre.Dans une première partie, nous donnons une description complète des structures de Poisson quasi-régulières non ...
openaire   +1 more source

Connecting scalar amplitudes using the positive tropical Grassmannian

Journal of High Energy Physics
The biadjoint scalar partial amplitude, m n I I $$ {m}_n\left(\mathbbm{I},\mathbbm{I}\right) $$ , can be expressed as a single integral over the positive tropical Grassmannian thus producing a Global Schwinger Parameterization.
Freddy Cachazo, Bruno Giménez Umbert
doaj   +1 more source

Fano and reflexive polytopes from Feynman integrals

Journal of High Energy Physics
We classify the Fano and reflexive polytopes that arise from quasi-finite Feynman integrals. These polytopes appear as scaled Minkowski sums of the Newton polytopes associated with the Symanzik graph polynomials.
Leonardo de la Cruz, Pavel P. Novichkov, Pierre Vanhove   +2 more
doaj   +1 more source

Applications of differential geometry to statistics [PDF]

Chapters 1 and 2 are both surveys of the current work in applying geometry to statistics. Chapter 1 is a broad outline of all the work done so far, while Chapter 2 studies, in particular, the work of Amari and that of Lauritzen. In Chapters 3 and 4 we
Marriott, Paul
core