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Let $(V, 0)$ be a germ of a complete intersection variety in $ℂ^{n + k}$ , $n > 0$ , having an isolated singularity at $0$ and $X$ be the germ of a holomorphic vector field having an isolated zero at $0$ and tangent to $V$ . We show that in this case the homological index and the GSV-index coincide. In the case when the zero of $X$ is also isolated in the ambient space $ℂ^{n + k}$ we give a formula for the homological index in terms of local linear algebra.

An algebraic method for calculating the topological degree

Andrzej Łęcki, Zbigniew Szafraniec (1996)

Banach Center Publications

An algorithm for finding the Veech group of an origami.

Schmithüsen, Gabriela (2004)

Experimental Mathematics

An Algorithm for Lifting Points in a Tropical Variety

Anders Nedergaard Jensen, Hannah Markwig, Thomas Markwig (2008)

Collectanea Mathematica

An algorithmic criterion for basicness in dimension 2.

F. Acquistapace, F. Broglia (1994)

Manuscripta mathematica

An alternative description of the Drinfeld $p$ -adic half-plane

Stephen Kudla, Michael Rapoport (2014)

Annales de l’institut Fourier

We show that the Deligne formal model of the Drinfeld $p$ -adic half-plane relative to a local field $F$ represents a moduli problem of polarized $O_{F}$ -modules with an action of the ring of integers in a quadratic extension $E$ of $F$ . The proof proceeds by establishing a comparison isomorphism with the Drinfeld moduli problem. This isomorphism reflects the accidental isomorphism of ${SL}_{2} (F)$ and $SU (C) (F)$ for a two-dimensional split hermitian space $C$ for $E / F$ .

An alternative proof of Scheiderer's theorem on the Hasse principle for principal homogeneous spaces.

Chernousov, Vladimir (1998)

Documenta Mathematica

An alternative way to classify some Generalized Elliptic Curves and their isotopic loops

Lucien Bénéteau, M. Abou Hashish (2004)

Commentationes Mathematicae Universitatis Carolinae

The Generalized Elliptic Curves $(GECs)$ are pairs $(Q, T)$ , where $T$ is a family of triples $(x, y, z)$ of “points” from the set $Q$ characterized by equalities of the form $x . y = z$ , where the law $x . y$ makes $Q$ into a totally symmetric quasigroup. Isotopic loops arise by setting $x * y = u . (x . y)$ . When $(x . y) . (a . b) = (x . a) . (y . b)$ , identically $(Q, T)$ is an entropic $GEC$ and $(Q, *)$ is an abelian group. Similarly, a terentropic $GEC$ may be characterized by $x^{2} . (a . b) = (x . a) (x . b)$ and $(Q, *)$ is then a Commutative Moufang Loop $(CML)$ . If in addition $x^{2} = x$ , we have Hall $GECs$ and $(Q, *)$ is an exponent $3$

An analog of the Fubini-Studi form for two-dimensional toric varieties.

Kytmanov, A.A. (2003) Sibirskij Matematicheskij Zhurnal

An analogue of convexity for complements of amoebas of varieties of higher codimension, an answer to a question asked by B. Sturmfels.

Henriques, André (2004) Advances in Geometry

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Displaying 681 – 700 of 8834

Ample vector bundles with zero loci having a bielliptic curve section.

An additive basis for the Chow ring of ${\bar{ℳ}}_{0, 2} (ℙ^{r}, 2)$ .

An additive version of higher Chow groups

An affirmative answer to a question of Ciliberto.

An Algebraic Approach to the Residues in Algebraic Geometry.

An algebraic construction of the generic singularities of Boardman-Thom

An Algebraic Formula for the Index of a Vector Field on an Isolated Complete Intersection Singularity