Fourier-Mukai transform and index theory.
C. Bartocci, U. Bruzzo, D. Hernández (1994)
Manuscripta mathematica
Hein, Georg, Ploog, David (2005)
Beiträge zur Algebra und Geometrie
Jean-Marc Drézet (2013)
Open Mathematics
A primitive multiple curve is a Cohen-Macaulay irreducible projective curve Y that can be locally embedded in a smooth surface, and such that Y red is smooth. We study the deformations of Y to curves with smooth irreducible components, when the number of components is maximal (it is then the multiplicity n of Y). We are particularly interested in deformations to n disjoint smooth irreducible components, which are called fragmented deformations. We describe them completely. We give also a characterization...
Nicholas M. Katz, William Browder (1982)
Mathematische Annalen
Nicholas M. Katz, William Browder (1983)
Mathematische Annalen
Roberto Paoletti (1995)
Mathematische Annalen
Sandeep H. Holay (1996)
Manuscripta mathematica
Masahiko Yoshinaga (2014)
Annales de la faculté des sciences de Toulouse Mathématiques
These are the expanded notes of the lecture by the author in “Arrangements in Pyrénées”, June 2012. We are discussing relations of freeness and splitting problems of vector bundles, several techniques proving freeness of hyperplane arrangements, K. Saito’s theory of primitive derivations for Coxeter arrangements, their application to combinatorial problems and related conjectures.
Jean-François Boutot (1974/1975)
Séminaire Bourbaki
Keisuke Toki (1999)
Collectanea Mathematica
Nazar Arakelian, Herivelto Borges (2015)
Acta Arithmetica
For each integer s ≥ 1, we present a family of curves that are -Frobenius nonclassical with respect to the linear system of plane curves of degree s. In the case s=2, we give necessary and sufficient conditions for such curves to be -Frobenius nonclassical with respect to the linear system of conics. In the -Frobenius nonclassical cases, we determine the exact number of -rational points. In the remaining cases, an upper bound for the number of -rational points will follow from Stöhr-Voloch...
Atushi Moriwaki (1993)
Mathematische Annalen
Hans-Jörg Reiffen (1974)
Mémoires de la Société Mathématique de France
Boukraa, Salah, Hassani, Saoud, Maillard, Jean-Marie, Zenine, Nadjah (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Touafek, Nouressadat (2008)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
Kenneth A. Ribet (1990)
Annales de la Faculté des sciences de Toulouse : Mathématiques
S. M. Natanzon (1999)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
Olivier Debarre (1995)
Journal für die reine und angewandte Mathematik
Ja Kyung Koo, Dong Hwa Shin (2010)
Acta Arithmetica
Robert W. Fitzgerald (1981)
Mathematische Zeitschrift