Matches in SemOpenAlex for { <https://semopenalex.org/work/W2026913111> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W2026913111 endingPage "149" @default.
- W2026913111 startingPage "149" @default.
- W2026913111 abstract "Assume $f:{{mathbf {C}}^m} to {mathbf {C}}$ is a weighted homogeneous polynomial with isolated singularity, and define $phi :{S^{2m - 1}} - {f^{ - 1}}(0) to {S^1}$ by $phi (overrightarrow z ) = f(overrightarrow z ) / |f(overrightarrow z )|$. If the monomials of $f$ are algebraically independent, then the closure ${overline F _0}$ of ${phi ^{ - 1}}(1)$ in ${S^{2m - 1}}$ admits a deformation into the subset $G$ where each monomial of $f$ has nonnegative real values. For the polynomial $f({z_1}, ldots ,{z_m}) = z_1^{{a_1}}{z_2} + cdots + z_{m - 1}^{{a_{m - 1}}}{z_m} + z_m^{{a_m}}{z_1}$, $G$ is a cell complex of dimension $m - 1$, invariant under a characteristic map $h$ of the fibration $phi$, and the inclusion $G to {F_0}$ induces isomorphisms in homology. To compute the homology of the link $K = {f^{ - 1}}(0) cap {S^{2m - 1}}$ it thus suffices to calculate the action of ${h_{ast }}$ on ${H_{m - 1}}(G)$. Let $d = {a_1}{a_2} cdots {a_m} + {( - 1)^{m - 1}}$. Let ${w_1}, {w_2}, ldots ,{w_m}$ be the weights associated with $f$, satisfying ${a_j} / {w_j} + 1 / {w_{j + 1}} = 1$ for $j = 1, 2, ldots , m - 1$ and ${a_m}/{w_m} + 1/{w_1} = 1$. Let $n = d/{w_1}$, $q = gcd (n, d)$, $r = q + {( - 1)^m}$. Then ${H_{m - 2}}(K) = {Z^r} oplus {z_{d/q}}$ and ${H_{m - 1}}(K) = {Z^r}$." @default.
- W2026913111 created "2016-06-24" @default.
- W2026913111 creator A5091659508 @default.
- W2026913111 date "1982-01-01" @default.
- W2026913111 modified "2023-09-26" @default.
- W2026913111 title "On the monodromy at isolated singularities of weighted homogeneous polynomials" @default.
- W2026913111 cites W1495980450 @default.
- W2026913111 cites W1521388935 @default.
- W2026913111 cites W2006307690 @default.
- W2026913111 cites W2033328505 @default.
- W2026913111 cites W2035538452 @default.
- W2026913111 cites W2065021945 @default.
- W2026913111 cites W2086090046 @default.
- W2026913111 cites W2088356620 @default.
- W2026913111 cites W2125758160 @default.
- W2026913111 doi "https://doi.org/10.1090/s0002-9947-1982-0637033-x" @default.
- W2026913111 hasPublicationYear "1982" @default.
- W2026913111 type Work @default.
- W2026913111 sameAs 2026913111 @default.
- W2026913111 citedByCount "3" @default.
- W2026913111 countsByYear W20269131112021 @default.
- W2026913111 countsByYear W20269131112022 @default.
- W2026913111 crossrefType "journal-article" @default.
- W2026913111 hasAuthorship W2026913111A5091659508 @default.
- W2026913111 hasBestOaLocation W20269131111 @default.
- W2026913111 hasConcept C101044782 @default.
- W2026913111 hasConcept C104317684 @default.
- W2026913111 hasConcept C11252640 @default.
- W2026913111 hasConcept C114614502 @default.
- W2026913111 hasConcept C134306372 @default.
- W2026913111 hasConcept C165525559 @default.
- W2026913111 hasConcept C17103678 @default.
- W2026913111 hasConcept C185592680 @default.
- W2026913111 hasConcept C190470478 @default.
- W2026913111 hasConcept C202444582 @default.
- W2026913111 hasConcept C33923547 @default.
- W2026913111 hasConcept C37914503 @default.
- W2026913111 hasConcept C55493867 @default.
- W2026913111 hasConcept C66882249 @default.
- W2026913111 hasConcept C90119067 @default.
- W2026913111 hasConcept C96403706 @default.
- W2026913111 hasConceptScore W2026913111C101044782 @default.
- W2026913111 hasConceptScore W2026913111C104317684 @default.
- W2026913111 hasConceptScore W2026913111C11252640 @default.
- W2026913111 hasConceptScore W2026913111C114614502 @default.
- W2026913111 hasConceptScore W2026913111C134306372 @default.
- W2026913111 hasConceptScore W2026913111C165525559 @default.
- W2026913111 hasConceptScore W2026913111C17103678 @default.
- W2026913111 hasConceptScore W2026913111C185592680 @default.
- W2026913111 hasConceptScore W2026913111C190470478 @default.
- W2026913111 hasConceptScore W2026913111C202444582 @default.
- W2026913111 hasConceptScore W2026913111C33923547 @default.
- W2026913111 hasConceptScore W2026913111C37914503 @default.
- W2026913111 hasConceptScore W2026913111C55493867 @default.
- W2026913111 hasConceptScore W2026913111C66882249 @default.
- W2026913111 hasConceptScore W2026913111C90119067 @default.
- W2026913111 hasConceptScore W2026913111C96403706 @default.
- W2026913111 hasIssue "1" @default.
- W2026913111 hasLocation W20269131111 @default.
- W2026913111 hasOpenAccess W2026913111 @default.
- W2026913111 hasPrimaryLocation W20269131111 @default.
- W2026913111 hasRelatedWork W2057954107 @default.
- W2026913111 hasRelatedWork W2068636707 @default.
- W2026913111 hasRelatedWork W2088544526 @default.
- W2026913111 hasRelatedWork W2118747057 @default.
- W2026913111 hasRelatedWork W2140243727 @default.
- W2026913111 hasRelatedWork W2741030450 @default.
- W2026913111 hasRelatedWork W2793583031 @default.
- W2026913111 hasRelatedWork W2837129420 @default.
- W2026913111 hasRelatedWork W2876555162 @default.
- W2026913111 hasRelatedWork W2989875800 @default.
- W2026913111 hasVolume "269" @default.
- W2026913111 isParatext "false" @default.
- W2026913111 isRetracted "false" @default.
- W2026913111 magId "2026913111" @default.
- W2026913111 workType "article" @default.