References$(function(){PrimeFaces.cw("TieredMenu","widget_formSmash_upper_j_idt147",{id:"formSmash:upper:j_idt147",widgetVar:"widget_formSmash_upper_j_idt147",autoDisplay:true,overlay:true,my:"left top",at:"left bottom",trigger:"formSmash:upper:referencesLink",triggerEvent:"click"});}); $(function(){PrimeFaces.cw("OverlayPanel","widget_formSmash_upper_j_idt148_j_idt150",{id:"formSmash:upper:j_idt148:j_idt150",widgetVar:"widget_formSmash_upper_j_idt148_j_idt150",target:"formSmash:upper:j_idt148:permLink",showEffect:"blind",hideEffect:"fade",my:"right top",at:"right bottom",showCloseIcon:true});});

Towards Plane Hurwitz NumbersPrimeFaces.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});
function selectAll()
{
var panelSome = $(PrimeFaces.escapeClientId("formSmash:some"));
var panelAll = $(PrimeFaces.escapeClientId("formSmash:all"));
panelAll.toggle();
toggleList(panelSome.get(0).childNodes, panelAll);
toggleList(panelAll.get(0).childNodes, panelAll);
}
/*Toggling the list of authorPanel nodes according to the toggling of the closeable second panel */
function toggleList(childList, panel)
{
var panelWasOpen = (panel.get(0).style.display == 'none');
// console.log('panel was open ' + panelWasOpen);
for (var c = 0; c < childList.length; c++) {
if (childList[c].classList.contains('authorPanel')) {
clickNode(panelWasOpen, childList[c]);
}
}
}
/*nodes have styleClass ui-corner-top if they are expanded and ui-corner-all if they are collapsed */
function clickNode(collapse, child)
{
if (collapse && child.classList.contains('ui-corner-top')) {
// console.log('collapse');
child.click();
}
if (!collapse && child.classList.contains('ui-corner-all')) {
// console.log('expand');
child.click();
}
}
PrimeFaces.cw("AccordionPanel","widget_formSmash_responsibleOrgs",{id:"formSmash:responsibleOrgs",widgetVar:"widget_formSmash_responsibleOrgs",multiple:true}); 2014 (English)Licentiate thesis, comprehensive summary (Other academic)
##### Abstract [en]

##### Place, publisher, year, edition, pages

Stockholm: Stockholm University, Department of mathematics , 2014.
##### Series

, Licentiate Thesis in Mathematics at Stockholm University
##### Keyword [en]

Algebraic curves, Hurwitz spaces
##### National Category

Algebra and Logic
##### Research subject

Mathematics
##### Identifiers

URN: urn:nbn:se:su:diva-103096ISBN: 978-91-7447-927-0OAI: oai:DiVA.org:su-103096DiVA: diva2:715399
##### Presentation

2014-06-05, 306, mathematics, department, Stockholms universitet, bldn 6, Stockholm, 10:00 (English)
##### Opponent

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt388",{id:"formSmash:j_idt388",widgetVar:"widget_formSmash_j_idt388",multiple:true});
##### Supervisors

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt394",{id:"formSmash:j_idt394",widgetVar:"widget_formSmash_j_idt394",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt400",{id:"formSmash:j_idt400",widgetVar:"widget_formSmash_j_idt400",multiple:true});
##### Projects

Boris Shapiro
Available from: 2014-08-04 Created: 2014-05-05 Last updated: 2015-03-06Bibliographically approved

The main objects of this thesis are branched coverings obtained as projection from a point in **P^****2**. Our general goal is to understand how a given meromorphic function f: X -> **P^****1 **can be induced from a composition X --> C -> **P^****1**, where C is a plane curve in **P^****2 which **is birationally equivalent to the smooth curve X. In particular, we want to characterize meromorphic functions on plane curves which are obtained in such a way. For instance, we want to describe the relations on branching points of projections of plane projective curves of degree d and enumerate such functions. To this end, in a series of two papers, we show that any degree d meromorphic function on a smooth projective plane curve C of degree d > 4 is isomorphic to a linear projection from a point p belonging to **P^****2 \ **C to **P^****1**. Secondly, we introduce a planarity filtration of the small Hurwitz space using the minimal degree of a plane curve such that a given meromorphic function can be fit into a composition X --> C -> **P^****1**. Finally, we also introduce the notion of plane Hurwitz numbers in this thesis.

References$(function(){PrimeFaces.cw("TieredMenu","widget_formSmash_lower_j_idt1106",{id:"formSmash:lower:j_idt1106",widgetVar:"widget_formSmash_lower_j_idt1106",autoDisplay:true,overlay:true,my:"left top",at:"left bottom",trigger:"formSmash:lower:referencesLink",triggerEvent:"click"});}); $(function(){PrimeFaces.cw("OverlayPanel","widget_formSmash_lower_j_idt1107_j_idt1109",{id:"formSmash:lower:j_idt1107:j_idt1109",widgetVar:"widget_formSmash_lower_j_idt1107_j_idt1109",target:"formSmash:lower:j_idt1107:permLink",showEffect:"blind",hideEffect:"fade",my:"right top",at:"right bottom",showCloseIcon:true});});