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pro vyhledávání: '"Elena Martinengo"'
Autor:
Elena Martinengo
Publikováno v:
Rendiconti di Matematica e delle Sue Applicazioni, Vol 40, Pp 81-95 (2019)
We study equivariant bi-vector fields on a toric variety. We prove that, on a smooth toric variety of dimension n, the locus where the rank of an equivariant bi-vector field is ≤ 2k is not empty and has at least a component of dimension ≥ 2k + 1,
Externí odkaz:
https://doaj.org/article/ea3fd2313ad44fddbead8954b1905bf8
We give a proper definition of the multiplicative structure of the following rings: Cox ring of invertible sheaves on a general algebraic stack; Cox ring of rank one reflexive sheaves on a normal and excellent algebraic stack. We show that such Cox r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b1e01b2ab0284ad42104d892183fe613
http://hdl.handle.net/2318/1856757
http://hdl.handle.net/2318/1856757
Autor:
Elena Martinengo, Andreas Hochenegger
Given a map $\phi: X \to Y$ of $\mathbb Q$-factorial Mori dream spaces, one can ask whether this map is induced by a homogeneous homomorphism $R(Y) \to R(X)$ of Cox rings. As soon as $Y$ is singular, such a homomorphism needs not to exist, as pulling
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7179d5b3f3e97e4c490fa4175d169209
http://hdl.handle.net/11311/1142437
http://hdl.handle.net/11311/1142437
Publikováno v:
Communications in Algebra. 40:2243-2260
We identify Cech cocycles in nonabelian (formal) group cohomology with Maurer-Cartan elements in a suitable L-infinity algebra. Applications to deformation theory are described.
Largely rewritten. Abstract modified. 15 pages, Latex, uses xy-pic
Largely rewritten. Abstract modified. 15 pages, Latex, uses xy-pic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b182ee3ca605dc138f55e4cc8dc7732f
https://doi.org/10.1080/00927872.2011.577479
https://doi.org/10.1080/00927872.2011.577479
Autor:
Andreas Hochenegger, Elena Martinengo
We propose a generalisation of Mori dream spaces to stacks. We show that this notion is preserved under root constructions and taking abelian gerbes. Unlike the case of Mori dream spaces, such a stack is not always given as a quotient of the spectrum
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0f9cfa6f882f0fb27cd5939b5c27155
Autor:
Elena Martinengo
We identify dglas that control infinitesimal deformations of the pairs (manifold, Higgs bundle) and of Hitchin pairs. As a consequence, we recover known descriptions of first order deformations and we refine known results on obstructions. Secondly we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2a17bf34baca2e01db8f3b7df180bb4
http://hdl.handle.net/2318/1621056
http://hdl.handle.net/2318/1621056
Publikováno v:
Journal of the European Mathematical Society
We use the Thom-Whitney construction to show that infinitesimal deformations of a coherent sheaf F are controlled by the differential graded Lie algebra of global sections of an acyclic resolution of the sheaf End(E), where E is any locally free reso
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b1ba95a466d9b4340086bde2665959b
http://hdl.handle.net/2318/1621055
http://hdl.handle.net/2318/1621055
Autor:
Elena Martinengo
We study the Brill-Noether stratification of the coarse moduli space of locally free stable and flat sheaves of a compact Kahler manifold, proving that these strata have quadratic algebraic singularities.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::975ff8f31a8908a363272ded51b51235
http://arxiv.org/abs/0806.2056
http://arxiv.org/abs/0806.2056