Sheaves on projective varieties

• Grant number: 14/14743-8
• Support Opportunities: Regular Research Grants
• Start date: September 01, 2014
• End date: June 30, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Marcos Benevenuto Jardim
• Grantee: Marcos Benevenuto Jardim
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• City of the host institution: Campinas

Abstract

In this project, I continue my research on sheaves on projective varieties and their moduli spaces, with a particular focus on instanton sheaves on projective spaces. (AU)

Scientific publications

(10)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

VON FLACH, RODRIGO A.; JARDIM, MARCOS. Moduli spaces of framed flags of sheaves on the projective plane. JOURNAL OF GEOMETRY AND PHYSICS, v. 118, n. SI, p. 138-168, AUG 2017. (14/14743-8)

JARDIM, MARCOS; MAICAN, MARIO; TIKHOMIROV, ALEXANDER S.. MODULI SPACES OF RANK 2 INSTANTON SHEAVES ON THE PROJECTIVE SPACE. PACIFIC JOURNAL OF MATHEMATICS, v. 291, n. 2, p. 399-424, DEC 2017. (14/14743-8, 16/03759-6)

JARDIM, MARCOS; MARKUSHEVICH, DIMITRI; TIKHOMIROV, ALEXANDER S.. NEW DIVISORS IN THE BOUNDARY OF THE INSTANTON MODULI SPACE. MOSCOW MATHEMATICAL JOURNAL, v. 18, n. 1, p. 117-148, JAN-MAR 2018. (14/14743-8, 11/06464-3)

CORREA, JR., MAURICIO; JARDIM, MARCOS; MARTINS, RENATO VIDAL. On the Singular Scheme of Split Foliations. Indiana University Mathematics Journal, v. 64, n. 5, p. 1359-1381, 2015. (14/14743-8)

JARDIM, MARCOS; MARKUSHEVICH, DIMITRI; TIKHOMIROV, ALEXANDER S.. Two infinite series of moduli spaces of rank 2 sheaves on P-3. Annali di Matematica Pura ed Applicata, v. 196, n. 4, p. 1573-1608, AUG 2017. (14/22807-6, 14/14743-8)

FRANCO, EMILIO; JARDIM, MARCOS; MARCHESI, SIMONE. Branes in the moduli space of framed sheaves. BULLETIN DES SCIENCES MATHEMATIQUES, v. 141, n. 4, p. 353-383, JUN 2017. (12/16356-6, 15/06696-2, 14/14743-8, 14/19676-7)

JARDIM, MARCOS; MENET, GREGOIRE; PRATA, DANIELA M.; SA EARP, HENRIQUE N.. Holomorphic bundles for higher dimensional gauge theory. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, v. 49, n. 1, p. 117-132, FEB 2017. (14/05733-9, 11/21398-7, 14/14743-8, 14/24727-0, 09/10067-0)

CALVO-ANDRADE, OMEGAR; CORREA, MAURICIO; JARDIM, MARCOS. Codimension One Holomorphic Distributions on the Projective Three-space. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, v. 2020, n. 23, p. 9011-9074, NOV 2020. (14/23594-6, 15/20841-5, 14/14743-8, 16/03759-6)

VON FLACH, RODRIGO A.; JARDIM, MARCOS. Moduli spaces of framed flags of sheaves on the projective plane. JOURNAL OF GEOMETRY AND PHYSICS, v. 118, p. 31-pg., 2017-08-01. (14/14743-8)

HENNI, ABDELMOUBINE A.; JARDIM, MARCOS. Commuting matrices and the Hilbert scheme of points on affine spaces. ADVANCES IN GEOMETRY, v. 18, n. 4, p. 467-482, OCT 2018. (09/12576-9, 14/14743-8)