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Let $Δ \subset 𝐑^{2}$ be an integral convex polygon. G. Mikhalkin introduced the notion ofHarnack curves, a class of real algebraic curves, defined by polynomials supported on $Δ$ and contained in the corresponding toric surface. He proved their existence, viaViro’s patchworkingmethod, and that the topological type of their real parts is unique (and determined by $Δ$ ). This paper is concerned with the description of the analogous statement in the case of a smoothing of a real plane branch $(C, 0)$ . We introduce the class...

Multiple Laurent series and difference equations.

Lejnartas, E.L. (2004)

Sibirskij Matematicheskij Zhurnal

Multiplicité et formes éliminantes

Francesco Amoroso (1994)

Bulletin de la Société Mathématique de France

Multiplicity- $2$ structures on Castelnuovo surfaces

K. Hulek, C. Okonek, A. Van de Ven (1986)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Multisegment duality, canonical bases and total positivity.

Zelevinsky, Andrei (1998)

Documenta Mathematica

Multivariate Descartes' rule.

Itenberg, Ilia, Roy, Marie-Françoise (1996)

Beiträge zur Algebra und Geometrie

Naive boundary strata and nilpotent orbits

Matt Kerr, Gregory Pearlstein (2014)

Annales de l’institut Fourier

We give a Hodge-theoretic parametrization of certain real Lie group orbits in the compact dual of a Mumford-Tate domain, and characterize the orbits which contain a naive limit Hodge filtration. A series of examples are worked out for the groups $S U (2, 1)$ , $S p_{4}$ , and $G_{2}$ .

Nef value of homogeneous line bundles and related vanishing theorems.

Dennis M. Snow (1995)

Forum mathematicum

Nesting maps of Grassmannians

Corrado De Concini, Zinovy Reichstein (2004)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Let $F$ be a field and $G r (i, F^{n})$ be the Grassmannian of $i$ -dimensional linear subspaces of $F^{n}$ . A map $f : G r (i, F^{n}) \to G r (j, F^{n})$ is called nesting if $l \subset f (l)$ for every $l \in G r (i, F^{n})$ . Glover, Homer and Stong showed that there are no continuous nesting maps $G r (i, C^{n}) \to G r (j, C^{n})$ except for a few obvious ones. We prove a similar result for algebraic nesting maps $G r (i, F^{n}) \to G r (j, F^{n})$ , where $F$ is an algebraically closed field of arbitrary characteristic. For $i = 1$ this yields a description of the algebraic sub-bundles of the tangent bundle to the projective space $P_{F}^{n}$ .

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Displaying 561 – 580 of 1240

Monomial Buchsbaum ideals in Ipr.

Monomial conjecture and complete intersections.

Monomial Gorenstein Curves in A4 as Set-Theoretic Complete Intersections.

Monomial Gorenstein Ideals.

Monominal ideal residue class rings and iterated Golod maps.

Morse theory on singular spaces and Lefschetz theorems

Motifs, L-Functions, and the K-Cohomology of Rational Surfaces over Finite Fields.

Multi-cones over Schubert varieties

Multi-Harnack smoothings of real plane branches