Matches in SemOpenAlex for { <https://semopenalex.org/work/W1859753014> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W1859753014 abstract "Brill-Noether theory studies the existence and deformations of curves in projective spaces; its basic object of study is $mathcal{W}^r_{d,g}$, the moduli space of smooth genus $g$ curves with a choice of degree $d$ line bundle having at least $(r+1)$ independent global sections. The Brill-Noether theorem asserts that the map $mathcal{W}^r_{d,g} rightarrow mathcal{M}_g$ is surjective with general fiber dimension given by the number $rho = g - (r+1)(g-d+r)$, under the hypothesis that $0 leq rho leq g$. One may naturally conjecture that for $rho < 0$, this map is generically finite onto a subvariety of codimension $-rho$ in $mathcal{M}_g$. This conjecture fails in general, but seemingly only when $-rho$ is large compared to $g$. This paper proves that this conjecture does hold for at least one irreducible component of $mathcal{W}^r_{d,g}$, under the hypothesis that $0 < -rho leq frac{r}{r+2} g - 3r+3$. We conjecture that this result should hold for all $0 < -rho leq g + C$ for some constant $C$, and we give a purely combinatorial conjecture that would imply this stronger result." @default.
- W1859753014 created "2016-06-24" @default.
- W1859753014 creator A5088843159 @default.
- W1859753014 date "2013-11-22" @default.
- W1859753014 modified "2023-09-27" @default.
- W1859753014 title "On linear series with negative Brill-Noether number" @default.
- W1859753014 cites W1515192744 @default.
- W1859753014 cites W1534976569 @default.
- W1859753014 cites W1536179593 @default.
- W1859753014 cites W2037882748 @default.
- W1859753014 cites W2050503171 @default.
- W1859753014 cites W2053228765 @default.
- W1859753014 cites W2060397770 @default.
- W1859753014 cites W2963878188 @default.
- W1859753014 hasPublicationYear "2013" @default.
- W1859753014 type Work @default.
- W1859753014 sameAs 1859753014 @default.
- W1859753014 citedByCount "3" @default.
- W1859753014 countsByYear W18597530142017 @default.
- W1859753014 countsByYear W18597530142020 @default.
- W1859753014 crossrefType "posted-content" @default.
- W1859753014 hasAuthorship W1859753014A5088843159 @default.
- W1859753014 hasConcept C105795698 @default.
- W1859753014 hasConcept C114614502 @default.
- W1859753014 hasConcept C119238805 @default.
- W1859753014 hasConcept C136197465 @default.
- W1859753014 hasConcept C202444582 @default.
- W1859753014 hasConcept C2777183706 @default.
- W1859753014 hasConcept C2780990831 @default.
- W1859753014 hasConcept C33923547 @default.
- W1859753014 hasConcept C37914503 @default.
- W1859753014 hasConcept C53469067 @default.
- W1859753014 hasConcept C73373263 @default.
- W1859753014 hasConcept C80892491 @default.
- W1859753014 hasConcept C83979697 @default.
- W1859753014 hasConceptScore W1859753014C105795698 @default.
- W1859753014 hasConceptScore W1859753014C114614502 @default.
- W1859753014 hasConceptScore W1859753014C119238805 @default.
- W1859753014 hasConceptScore W1859753014C136197465 @default.
- W1859753014 hasConceptScore W1859753014C202444582 @default.
- W1859753014 hasConceptScore W1859753014C2777183706 @default.
- W1859753014 hasConceptScore W1859753014C2780990831 @default.
- W1859753014 hasConceptScore W1859753014C33923547 @default.
- W1859753014 hasConceptScore W1859753014C37914503 @default.
- W1859753014 hasConceptScore W1859753014C53469067 @default.
- W1859753014 hasConceptScore W1859753014C73373263 @default.
- W1859753014 hasConceptScore W1859753014C80892491 @default.
- W1859753014 hasConceptScore W1859753014C83979697 @default.
- W1859753014 hasLocation W18597530141 @default.
- W1859753014 hasOpenAccess W1859753014 @default.
- W1859753014 hasPrimaryLocation W18597530141 @default.
- W1859753014 hasRelatedWork W1501884601 @default.
- W1859753014 hasRelatedWork W1507919071 @default.
- W1859753014 hasRelatedWork W1777309641 @default.
- W1859753014 hasRelatedWork W1936283193 @default.
- W1859753014 hasRelatedWork W2093880208 @default.
- W1859753014 hasRelatedWork W2094738922 @default.
- W1859753014 hasRelatedWork W2097716580 @default.
- W1859753014 hasRelatedWork W2156271895 @default.
- W1859753014 hasRelatedWork W2166798625 @default.
- W1859753014 hasRelatedWork W2299590336 @default.
- W1859753014 hasRelatedWork W2569173965 @default.
- W1859753014 hasRelatedWork W2795834021 @default.
- W1859753014 hasRelatedWork W2949717248 @default.
- W1859753014 hasRelatedWork W2952219567 @default.
- W1859753014 hasRelatedWork W2952682491 @default.
- W1859753014 hasRelatedWork W3007632519 @default.
- W1859753014 hasRelatedWork W3102946653 @default.
- W1859753014 hasRelatedWork W3103154074 @default.
- W1859753014 hasRelatedWork W3143811163 @default.
- W1859753014 hasRelatedWork W817106058 @default.
- W1859753014 isParatext "false" @default.
- W1859753014 isRetracted "false" @default.
- W1859753014 magId "1859753014" @default.
- W1859753014 workType "article" @default.