Using stacks to impose tangency conditions on curves
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Publication:3437224
DOI10.1353/AJM.2007.0007zbMATH Open1127.14002arXivmath/0312349OpenAlexW2160148518MaRDI QIDQ3437224
Author name not available (Why is that?)
Publication date: 14 May 2007
Published in: (Search for Journal in Brave)
Abstract: We define a Deligne-Mumford stack X_{D,r} which depends on a scheme X, an effective Cartier divisor Dsubset X, and a positive integer r. Then we show that the Abramovich-Vistoli moduli stack of stable maps into X_{D,r} provides compactifications of the locally closed substacks of �ar{M}_{g,n}(X,�eta) corresponding to relative stable maps.
Full work available at URL: https://arxiv.org/abs/math/0312349
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