USING STACKS TO IMPOSE TANGENCY CONDITIONS ON CURVES By CHARLES CADMAN
نویسندگان
چکیده
We define a Deligne-Mumford stack XD,r which depends on a scheme X, an effective Cartier divisor D ⊂ X, and a positive integer r. Then we show that the Abramovich-Vistoli moduli stack of stable maps into XD,r provides compactifications of the locally closed substacks of M̄g,n(X,β) corresponding to relative stable maps.
منابع مشابه
Using Stacks to Impose Tangency Conditions on Curves
We define a Deligne-Mumford stack XD,r which depends on a scheme X , an effective Cartier divisor D ⊂ X , and a positive integer r . Then we show that the Abramovich-Vistoli moduli stack of stable maps into XD,r provides compactifications of the locally closed substacks of M̄g,n(X,β) corresponding to relative stable maps. We also state an enumerative result counting rational plane curves with ta...
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