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pro vyhledávání: '"Philippe Ellia"'
Autor:
Philippe Ellia
Publikováno v:
Le Matematiche, Vol 55, Iss 2, Pp 285-303 (2000)
See direcly the article
Externí odkaz:
https://doaj.org/article/5052b018036f4aa2af2a2279184e68e6
Autor:
Philippe Ellia
Publikováno v:
ANNALI DELL'UNIVERSITA' DI FERRARA. 63:103-112
We give bounds on the rank of non uniform vector bundles on \(\mathbb {P}^n\) with a finite number of jumping lines.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e4c81462a4aa3741b6f0ec77a9fdcee
https://doi.org/10.1007/s11565-017-0282-2
https://doi.org/10.1007/s11565-017-0282-2
Autor:
Laurent Gruson, Philippe Ellia
Publikováno v:
Journal of Algebra. 438:85-89
Let E be a normalized, rank two vector bundle on P 3 . Let H be a general plane. If E is stable with c 2 ≥ 4 , we show that h 0 ( E H ( 1 ) ) ≤ 2 + c 1 . It follows that h 0 ( E ( 1 ) ) ≤ 2 + c 1 . We also show that if E is properly semi-stable
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa8ad4d7ca449170cb870fc2df61ce71
https://doi.org/10.1016/j.jalgebra.2015.05.009
https://doi.org/10.1016/j.jalgebra.2015.05.009
Autor:
Philippe Ellia, Monica Ida
Publikováno v:
geometry and complex variables
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ded1e42871e0056767c2b5c6ed945edc
https://doi.org/10.1201/9780203753408-14
https://doi.org/10.1201/9780203753408-14
We prove the following statement, which has been conjectured since 1985: There exists a constant K such that for all natural numbers d, g with $$g\leqslant Kd^{3/2}$$ there exists an irreducible component of the Hilbert scheme of $$\mathbb {P}^3$$ wh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dbf4c857e5686c71d4225c4c35e45558
http://arxiv.org/abs/1705.10113
http://arxiv.org/abs/1705.10113
Autor:
Philippe Ellia
Publikováno v:
Rendiconti Lincei - Matematica e Applicazioni. 24:147-163
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc3b0860a067f449969d5b266786c67a
https://doi.org/10.4171/rlm/649
https://doi.org/10.4171/rlm/649
Publikováno v:
Scopus-Elsevier
In this paper we study 0-dimensional schemes Z made of “fat points” in P n , n ≥ 2, whose support lies on a rational normal curve. We conjecture that the Hilbert function of Z does not depend on the choice of the points and we show this under s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c875521e4b2fe6e26204553cfcbbf25
Autor:
Philippe Ellia
Publikováno v:
Journal of the London Mathematical Society. 58:18-26
It is shown that the general plane section of a double structure on an integral curve C ⊆ P 3 has a connected numerical character (that is, its Hilbert function is of decreasing type). The paper gives applications, particularly to the stability of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::96ef49a83b6f10a3a3bc912475213deb
https://doi.org/10.1112/s0024610798006395
https://doi.org/10.1112/s0024610798006395
Publikováno v:
Transactions of the American Mathematical Society. 349:4589-4608
In this paper we show the existence of smooth connected space curves not contained in a surface of degree less than m m , with genus maximal with respect to the degree, in half of the so-called range A. The main tool is a technique of deformation of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::be728b1e18be2cfc4034b38c0a68ddbd
https://doi.org/10.1090/s0002-9947-97-01917-x
https://doi.org/10.1090/s0002-9947-97-01917-x
Autor:
Philippe Ellia
We give necessary conditions on the degree and the genus of a smooth, integral curve C⊂P3 to be self-linked (i.e. locus of simple contact of two surfaces). We also give similar results for set theoretically complete intersection curves with a struc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b1060b5325a6fe179474ebd09c6fb8a9
http://arxiv.org/abs/1311.0500
http://arxiv.org/abs/1311.0500