Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Lawrence Ein"'
Publikováno v:
Bollettino dell'Unione Matematica Italiana. 15:163-171
We compute global sections of tensor products and symmetric products of several secant bundles of a nonsingular projective curve. We closely follow the approach of Gentiana Danila’s work on the similar problem for nonsingular projective surfaces.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a229b0046aba43d82f6f59ef14540ae8
https://doi.org/10.1007/s40574-021-00282-9
https://doi.org/10.1007/s40574-021-00282-9
We prove bounds on the saturation degrees of homogeneous ideals (and their powers) defining smooth complex projective varieties. For example, we show that a classical statement due to Macualay for zero-dimensional complete intersection ideals holds f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f87b1513b32e69ea8b5ca14abab34ed8
http://arxiv.org/abs/2104.01218
http://arxiv.org/abs/2104.01218
In recent years, the equations defining secant varieties and their syzygies have attracted considerable attention. The purpose of the present paper is to conduct a thorough study on secant varieties of curves by settling several conjectures and revea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ebfcb604fbd652d819ef297fea04dc28
http://arxiv.org/abs/2005.10906
http://arxiv.org/abs/2005.10906
Autor:
Lawrence Ein, Robert Lazarsfeld
Publikováno v:
Algebraic Geometry: Salt Lake City 2015. :223-242
This paper is a survey of recent work on the asymptotic behavior of the syzygies of a smooth complex projective variety as the positivity of the embedding line bundle grows. After a quick overview of results from the 1980s and 1990s concerning the li
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a8096f478f5f1493c713b21cc972af7
https://doi.org/10.1090/pspum/097.1/01674
https://doi.org/10.1090/pspum/097.1/01674
Autor:
Lawrence Ein, Wenbo Niu
Publikováno v:
Asian Journal of Mathematics. 22:307-316
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ed2bb8eae04313c2991c0804f2919d4c
https://doi.org/10.4310/ajm.2018.v22.n2.a8
https://doi.org/10.4310/ajm.2018.v22.n2.a8
Publikováno v:
Compositio Mathematica. 153:2368-2393
We study various measures of irrationality for hypersurfaces of large degree in projective space and other varieties. These include the least degree of a rational covering of projective space, and the minimal gonality of a covering family of curves.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8dd02efb623ee7bdbd202c2f846a4a7
https://doi.org/10.1112/s0010437x17007436
https://doi.org/10.1112/s0010437x17007436
Autor:
Lawrence Ein, Robert Lazarsfeld
This is an introduction, aimed at a general mathematical audience, to recent work of Aprodu, Farkas, Papadima, Raicu and Weyman. These authors established a long-standing folk conjecture concerning the equations defining the tangent developable surfa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f2319705be083e59af387c469aecf851
http://arxiv.org/abs/1906.05429
http://arxiv.org/abs/1906.05429
Autor:
Lawrence Ein, Robert Lazarsfeld
Publikováno v:
European Journal of Mathematics.
The Konno invariant of a projective variety X is the minimum geometric genus of the fiber of a rational pencil on X. It was computed by Konno for surfaces in $${\mathbf {P}}^3$$, and in general can be viewed as a measure of the complexity of X. We es
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62e9894917455c7fea4cd1a25c86096a
https://doi.org/10.1007/s40879-019-00322-x
https://doi.org/10.1007/s40879-019-00322-x
Publikováno v:
Electronic Research Archive. 29:3649
In this paper, we show that for a nonsingular projective curve and a positive integer \begin{document}$ k $\end{document}, the \begin{document}$ k $\end{document}-th secant bundle is the blowup of the \begin{document}$ k $\end{document}-th secant var
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9a3e3f101a7699837eb77497e5e47f07
https://doi.org/10.3934/era.2021055
https://doi.org/10.3934/era.2021055