Matches in SemOpenAlex for { <https://semopenalex.org/work/W1597075307> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W1597075307 abstract "The computation of amoebas has been a challenging open problem for the last dozen years. The most natural approach, namely to compute an amoeba via its boundary, has not been practical so far since only a superset of the boundary, the contour, is understood in theory and computable in practice. We define and characterize the extended boundary of an amoeba, which is sensitive to some degenerations that the topological boundary does not detect. Our description of the extended boundary also allows us to distinguish between the contour and the boundary. This gives rise not only to new structural results in amoeba theory, but in particular allows us to compute hypersurface amoebas via their boundary in any dimension. In dimension two this can be done using Grobner bases alone. We introduce the concept of amoeba bases, which are sufficient for understanding the amoeba of an ideal. We show that our characterization of the boundary is essential for the computation of these amoeba bases and we illustrate the potential of this concept by constructing amoeba bases for linear systems of equations." @default.
- W1597075307 created "2016-06-24" @default.
- W1597075307 creator A5059450802 @default.
- W1597075307 creator A5061602447 @default.
- W1597075307 date "2013-10-28" @default.
- W1597075307 modified "2023-09-27" @default.
- W1597075307 title "The Boundary of Amoebas" @default.
- W1597075307 cites W105138168 @default.
- W1597075307 cites W1534888978 @default.
- W1597075307 cites W1566740024 @default.
- W1597075307 cites W1574151794 @default.
- W1597075307 cites W1809408722 @default.
- W1597075307 cites W1836917067 @default.
- W1597075307 cites W2010666540 @default.
- W1597075307 cites W2021591064 @default.
- W1597075307 cites W2033043430 @default.
- W1597075307 cites W2044681045 @default.
- W1597075307 cites W2054267869 @default.
- W1597075307 cites W2056254807 @default.
- W1597075307 cites W2079988604 @default.
- W1597075307 cites W2094372703 @default.
- W1597075307 cites W2131440188 @default.
- W1597075307 cites W2323306416 @default.
- W1597075307 cites W2963147012 @default.
- W1597075307 cites W2963362582 @default.
- W1597075307 hasPublicationYear "2013" @default.
- W1597075307 type Work @default.
- W1597075307 sameAs 1597075307 @default.
- W1597075307 citedByCount "5" @default.
- W1597075307 countsByYear W15970753072014 @default.
- W1597075307 countsByYear W15970753072015 @default.
- W1597075307 countsByYear W15970753072016 @default.
- W1597075307 countsByYear W15970753072019 @default.
- W1597075307 crossrefType "posted-content" @default.
- W1597075307 hasAuthorship W1597075307A5059450802 @default.
- W1597075307 hasAuthorship W1597075307A5061602447 @default.
- W1597075307 hasConcept C11413529 @default.
- W1597075307 hasConcept C114410712 @default.
- W1597075307 hasConcept C134306372 @default.
- W1597075307 hasConcept C202444582 @default.
- W1597075307 hasConcept C2524010 @default.
- W1597075307 hasConcept C2776172558 @default.
- W1597075307 hasConcept C33676613 @default.
- W1597075307 hasConcept C33923547 @default.
- W1597075307 hasConcept C45374587 @default.
- W1597075307 hasConcept C62354387 @default.
- W1597075307 hasConcept C86803240 @default.
- W1597075307 hasConcept C89423630 @default.
- W1597075307 hasConceptScore W1597075307C11413529 @default.
- W1597075307 hasConceptScore W1597075307C114410712 @default.
- W1597075307 hasConceptScore W1597075307C134306372 @default.
- W1597075307 hasConceptScore W1597075307C202444582 @default.
- W1597075307 hasConceptScore W1597075307C2524010 @default.
- W1597075307 hasConceptScore W1597075307C2776172558 @default.
- W1597075307 hasConceptScore W1597075307C33676613 @default.
- W1597075307 hasConceptScore W1597075307C33923547 @default.
- W1597075307 hasConceptScore W1597075307C45374587 @default.
- W1597075307 hasConceptScore W1597075307C62354387 @default.
- W1597075307 hasConceptScore W1597075307C86803240 @default.
- W1597075307 hasConceptScore W1597075307C89423630 @default.
- W1597075307 hasLocation W15970753071 @default.
- W1597075307 hasOpenAccess W1597075307 @default.
- W1597075307 hasPrimaryLocation W15970753071 @default.
- W1597075307 hasRelatedWork W1485238525 @default.
- W1597075307 hasRelatedWork W1501587098 @default.
- W1597075307 hasRelatedWork W1546014951 @default.
- W1597075307 hasRelatedWork W1653490780 @default.
- W1597075307 hasRelatedWork W1975899511 @default.
- W1597075307 hasRelatedWork W2044681045 @default.
- W1597075307 hasRelatedWork W2094372703 @default.
- W1597075307 hasRelatedWork W2120103450 @default.
- W1597075307 hasRelatedWork W2131440188 @default.
- W1597075307 hasRelatedWork W2464969441 @default.
- W1597075307 hasRelatedWork W2493459508 @default.
- W1597075307 hasRelatedWork W2626392748 @default.
- W1597075307 hasRelatedWork W2786129066 @default.
- W1597075307 hasRelatedWork W3000443216 @default.
- W1597075307 hasRelatedWork W3111036617 @default.
- W1597075307 hasRelatedWork W3119921141 @default.
- W1597075307 hasRelatedWork W3139186768 @default.
- W1597075307 hasRelatedWork W2028832990 @default.
- W1597075307 hasRelatedWork W2084747823 @default.
- W1597075307 hasRelatedWork W76247754 @default.
- W1597075307 isParatext "false" @default.
- W1597075307 isRetracted "false" @default.
- W1597075307 magId "1597075307" @default.
- W1597075307 workType "article" @default.