CiteExport$(function(){PrimeFaces.cw("TieredMenu","widget_formSmash_upper_j_idt152",{id:"formSmash:upper:j_idt152",widgetVar:"widget_formSmash_upper_j_idt152",autoDisplay:true,overlay:true,my:"left top",at:"left bottom",trigger:"formSmash:upper:exportLink",triggerEvent:"click"});}); $(function(){PrimeFaces.cw("OverlayPanel","widget_formSmash_upper_j_idt153_j_idt155",{id:"formSmash:upper:j_idt153:j_idt155",widgetVar:"widget_formSmash_upper_j_idt153_j_idt155",target:"formSmash:upper:j_idt153:permLink",showEffect:"blind",hideEffect:"fade",my:"right top",at:"right bottom",showCloseIcon:true});});

The space of Cohen–Macaulay curvesPrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
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(English)Manuscript (preprint) (Other academic)
##### Abstract [en]

##### National Category

Algebra and Logic Geometry
##### Research subject

Mathematics
##### Identifiers

URN: urn:nbn:se:kth:diva-143875OAI: oai:DiVA.org:kth-143875DiVA, id: diva2:709959
#####

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#####

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#####

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##### Note

##### In thesis

One can consider the Hilbert scheme as a natural compactification of the space of smooth projective curves with fixed Hilbert polynomial. Here we consider a different modular compactification, namely the functor CM parameterizing curves together with a finite map to that is generically a closed immersion. We prove that CM is an algebraic space by contructing a scheme W and a representable, surjective and smooth map W -> CM. Moreover, we show that CM satisfies the valuative criterion for properness.

QS 2014

Available from: 2014-04-03 Created: 2014-04-01 Last updated: 2014-04-04Bibliographically approved1. The space of Cohen–Macaulay curves and related topics$(function(){PrimeFaces.cw("OverlayPanel","overlay709970",{id:"formSmash:j_idt738:0:j_idt742",widgetVar:"overlay709970",target:"formSmash:j_idt738:0:parentLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

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CiteExport$(function(){PrimeFaces.cw("TieredMenu","widget_formSmash_lower_j_idt1230",{id:"formSmash:lower:j_idt1230",widgetVar:"widget_formSmash_lower_j_idt1230",autoDisplay:true,overlay:true,my:"left top",at:"left bottom",trigger:"formSmash:lower:exportLink",triggerEvent:"click"});}); $(function(){PrimeFaces.cw("OverlayPanel","widget_formSmash_lower_j_idt1231_j_idt1233",{id:"formSmash:lower:j_idt1231:j_idt1233",widgetVar:"widget_formSmash_lower_j_idt1231_j_idt1233",target:"formSmash:lower:j_idt1231:permLink",showEffect:"blind",hideEffect:"fade",my:"right top",at:"right bottom",showCloseIcon:true});});