IRIS Pol. Torinohttps://iris.polito.itIl sistema di repository digitale IRIS acquisisce, archivia, indicizza, conserva e rende accessibili prodotti digitali della ricerca.Tue, 25 Jun 2019 18:06:54 GMT2019-06-25T18:06:54Z10731On the irriducibility and singularities of the Gorenstein locus of the punctual Hilbert scheme of degree 10http://hdl.handle.net/11583/2371288Titolo: On the irriducibility and singularities of the Gorenstein locus of the punctual Hilbert scheme of degree 10
Abstract: Let $k$ be an algebraically closed field of characteristic $0$ and let $\Hilb_{d}^{G}(\p{N})$ be the open locus of the Hilbert scheme $\Hilb_{d}(\p{N})$ corresponding to Gorenstein subschemes. We proved in a previous paper that $\Hilb_{d}^{G}(\p{N})$ is irreducible for $d\le9$ and $N\ge1$. In the present paper we prove that also $\Hilb_{10}^{G}(\p{N})$ is irreducible for each $N\ge1$, giving also a complete description of its singular locus.
Sat, 01 Jan 2011 00:00:00 GMThttp://hdl.handle.net/11583/23712882011-01-01T00:00:00ZOn certain loci of curves of genus g≥4 with Weierstrass points whose first non-gap is threehttp://hdl.handle.net/11583/1399138Titolo: On certain loci of curves of genus g≥4 with Weierstrass points whose first non-gap is three
Tue, 01 Jan 2002 00:00:00 GMThttp://hdl.handle.net/11583/13991382002-01-01T00:00:00ZCovers of algebraic varieties V. Examples of covers of degree 8 and 9 as catalecticant locihttp://hdl.handle.net/11583/1399142Titolo: Covers of algebraic varieties V. Examples of covers of degree 8 and 9 as catalecticant loci
Wed, 01 Jan 2003 00:00:00 GMThttp://hdl.handle.net/11583/13991422003-01-01T00:00:00ZOn subcanonical curves lying on smooth surfaces in P3http://hdl.handle.net/11583/1399126Titolo: On subcanonical curves lying on smooth surfaces in P3
Sun, 01 Jan 1995 00:00:00 GMThttp://hdl.handle.net/11583/13991261995-01-01T00:00:00ZOn the rationality of certain Weierestrass spaces of type (5,g)http://hdl.handle.net/11583/2370246Titolo: On the rationality of certain Weierestrass spaces of type (5,g)
Abstract: Let $\M_g$ be the moduli space of smooth, integral curves of genus $g$ over the complex field $\Bbb C$ and denote by $\overline{W}_{d,g}\subseteq\M_g$ the Weierstrass space of type $(d,g)$, i.e. the closure of the locus of points representing $d$--gonal with exactly one total ramification point, the other ramification points being simple. The locus $\overline{W}_{d,g}$ is always irreducible and it is rational for $d=2,3,4$. We prove here the rationalilty of $\overline{W}_{5,g}$ for $g\equiv 16 \pmod{20}$.
Sat, 01 Jan 2011 00:00:00 GMThttp://hdl.handle.net/11583/23702462011-01-01T00:00:00ZOn the directrices of the conormal bundle of a curve on a quadric surfacehttp://hdl.handle.net/11583/1399128Titolo: On the directrices of the conormal bundle of a curve on a quadric surface
Tue, 01 Jan 1991 00:00:00 GMThttp://hdl.handle.net/11583/13991281991-01-01T00:00:00ZQuadratic sheaves and self-linkagehttp://hdl.handle.net/11583/1399141Titolo: Quadratic sheaves and self-linkage
Tue, 01 Jan 2002 00:00:00 GMThttp://hdl.handle.net/11583/13991412002-01-01T00:00:00ZThe rationality of the Weierstrass space of type (4,g)http://hdl.handle.net/11583/1399143Titolo: The rationality of the Weierstrass space of type (4,g)
Abstract: Let $\M_g$ be the moduli space of smooth, integral curves of genus $g$ over
the complex field $\Bbb C$.
We denote by ${W}_{n,g}$ the locus inside $\M_g$ of $n$--gonal curves $C$ with exactly one total ramification point, the other
ramification points being simple. $\overline{W}_{n,g}$ is
irreducible of dimension
$2g+n-3$. Moreover for $2\le n\le 5$ it is also unirational. It is then a natural question to ask whether $\overline{W}_{n,g}$ is
also rational for this values of $n$. The locus
$\overline{W}_{2,g}$ is the hyperelliptic locus and F\. Bogomolov and P\.
Katsylo proved its rationality for any $g\ge2$. More recently we proved that
$\overline{W}_{3,g}$ is rational too when $g\ge4$.
In the present paper we prove that $\overline{W}_{4,g}$ is also rational when $g\ge6$.
Thu, 01 Jan 2004 00:00:00 GMThttp://hdl.handle.net/11583/13991432004-01-01T00:00:00ZMR2511203 (2010g:14035) Review of the paper: Rains, Eric M. The action of $S_n$ on the cohomology of $overline M_{0,n}(Bbb R)$. Selecta Math. (N.S.) 15 (2009), no. 1, 171-188http://hdl.handle.net/11583/2370476Titolo: MR2511203 (2010g:14035) Review of the paper: Rains, Eric M. The action of $S_n$ on the cohomology of $overline M_{0,n}(Bbb R)$. Selecta Math. (N.S.) 15 (2009), no. 1, 171-188
Fri, 01 Jan 2010 00:00:00 GMThttp://hdl.handle.net/11583/23704762010-01-01T00:00:00ZCovers of degree four and the rationality of the moduli space of curves of genus five with a vanishing theta-nullhttp://hdl.handle.net/11583/1399133Titolo: Covers of degree four and the rationality of the moduli space of curves of genus five with a vanishing theta-null
Thu, 01 Jan 1998 00:00:00 GMThttp://hdl.handle.net/11583/13991331998-01-01T00:00:00Z