Timeline for Degeneration of smooth curves and Picard-Lefschetz formula
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Aug 3, 2018 at 22:13 | vote | accept | Jana | ||
| Aug 3, 2018 at 14:47 | comment | added | K.K. | There exist simple closed curves $a,b$ on $C_t$ whose homology classes (also denoted $a,b$) satisfy $a\cdot b = 1$. Since the central fiber is irreducible with exactly one node, the vanishing cycle $\delta_t$ is a non-separating simple closed curve on $C_t$; it follows from the classification of surfaces that there is an orientation-preserving homeomorphism $f$ of $C_t$ such that $f(b) = \delta_t$. You may then take $\gamma = f(a)$. | |
| Aug 3, 2018 at 13:32 | answer | added | Will Sawin | timeline score: 8 | |
| Aug 3, 2018 at 12:54 | history | edited | Jana | CC BY-SA 4.0 |
added 2 characters in body
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| Aug 3, 2018 at 12:31 | history | asked | Jana | CC BY-SA 4.0 |