How to show they are the same? [on hold]the fundamental exact sequence associated to a closed spaceDefinition of a morphism of locally ringed spacesIs a scheme over a field $k$ the same thing as a sheaf of $k$-algebras?Unique reduced subscheme $(Y, mathcal O_Y)$ of $X$When is map between $H^1$ of curves injective?How to show $beta$ is associated to $alpha_B$?How to show the morphisms $f_i$ glue to a morphism $f:Xto Y$.How to show $operatornamesupp(mathcal O_Y/mathcal I)supsetoperatornamesupp(f_*mathcal O_X)$?Is one sheafification enough for the module inverse image?$X,Y$ reduced, irreducible, separated schemes with same function field. $U_i,V_i$ are coverings of $X,Y$ s.t. $O(U_i)cong O(V_i)$, then $Xcong Y$
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How to show they are the same? [on hold]
the fundamental exact sequence associated to a closed spaceDefinition of a morphism of locally ringed spacesIs a scheme over a field $k$ the same thing as a sheaf of $k$-algebras?Unique reduced subscheme $(Y, mathcal O_Y)$ of $X$When is map between $H^1$ of curves injective?How to show $beta$ is associated to $alpha_B$?How to show the morphisms $f_i$ glue to a morphism $f:Xto Y$.How to show $operatornamesupp(mathcal O_Y/mathcal I)supsetoperatornamesupp(f_*mathcal O_X)$?Is one sheafification enough for the module inverse image?$X,Y$ reduced, irreducible, separated schemes with same function field. $U_i,V_i$ are coverings of $X,Y$ s.t. $O(U_i)cong O(V_i)$, then $Xcong Y$
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在命题(4.1.5)中，设分别有闭浸入$f:(Ycap V_alpha,mathcal O_Y|_(Ycap V_alpha))to (V_alpha,mathcal O_X|_V_alpha)$与$g:(Ycap V_beta,mathcal O_Y|_(Ycap V_beta))to (V_beta,mathcal O_X|_V_beta)$, 设它们在$Ycap V_alphacap V_beta$上的限制分别是闭浸入$f',g':(Ycap V_alphacap V_beta,mathcal O_Y|_(Ycap V_alphacap V_beta))to (V_alphacap V_beta,mathcal O_X|_(V_alphacap V_beta))$，则$mathcal O_X|_(V_alphacap V_beta)$的定义了闭子概形$(Ycap V_alphacap V_beta,mathcal O_Y|_(Ycap V_alphacap V_beta))$的理想层可以根据$f'$来取，也可以根据$g'$来取，怎么知道它们是一样的呢？即$mathcal F|_(V_alphacap V_beta)$到底怎样来确定呢?
algebraic-geometry
asked Mar 28 at 20:10
Born to be proudBorn to be proud
862510
$endgroup$
put on hold as unclear what you're asking by quid♦ Mar 30 at 14:32
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
$begingroup$
在命题(4.1.5)中，设分别有闭浸入$f:(Ycap V_alpha,mathcal O_Y|_(Ycap V_alpha))to (V_alpha,mathcal O_X|_V_alpha)$与$g:(Ycap V_beta,mathcal O_Y|_(Ycap V_beta))to (V_beta,mathcal O_X|_V_beta)$, 设它们在$Ycap V_alphacap V_beta$上的限制分别是闭浸入$f',g':(Ycap V_alphacap V_beta,mathcal O_Y|_(Ycap V_alphacap V_beta))to (V_alphacap V_beta,mathcal O_X|_(V_alphacap V_beta))$，则$mathcal O_X|_(V_alphacap V_beta)$的定义了闭子概形$(Ycap V_alphacap V_beta,mathcal O_Y|_(Ycap V_alphacap V_beta))$的理想层可以根据$f'$来取，也可以根据$g'$来取，怎么知道它们是一样的呢？即$mathcal F|_(V_alphacap V_beta)$到底怎样来确定呢?
algebraic-geometry
asked Mar 28 at 20:10
Born to be proudBorn to be proud
862510
$endgroup$
put on hold as unclear what you're asking by quid♦ Mar 30 at 14:32
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
3
$begingroup$
You should consider asking your question in english on a website full of english speaking people.
$endgroup$
– Algebear
Mar 28 at 21:01
add a comment |
$begingroup$
在命题(4.1.5)中，设分别有闭浸入$f:(Ycap V_alpha,mathcal O_Y|_(Ycap V_alpha))to (V_alpha,mathcal O_X|_V_alpha)$与$g:(Ycap V_beta,mathcal O_Y|_(Ycap V_beta))to (V_beta,mathcal O_X|_V_beta)$, 设它们在$Ycap V_alphacap V_beta$上的限制分别是闭浸入$f',g':(Ycap V_alphacap V_beta,mathcal O_Y|_(Ycap V_alphacap V_beta))to (V_alphacap V_beta,mathcal O_X|_(V_alphacap V_beta))$，则$mathcal O_X|_(V_alphacap V_beta)$的定义了闭子概形$(Ycap V_alphacap V_beta,mathcal O_Y|_(Ycap V_alphacap V_beta))$的理想层可以根据$f'$来取，也可以根据$g'$来取，怎么知道它们是一样的呢？即$mathcal F|_(V_alphacap V_beta)$到底怎样来确定呢?
algebraic-geometry
asked Mar 28 at 20:10
Born to be proudBorn to be proud
862510
$endgroup$
在命题(4.1.5)中，设分别有闭浸入$f:(Ycap V_alpha,mathcal O_Y|_(Ycap V_alpha))to (V_alpha,mathcal O_X|_V_alpha)$与$g:(Ycap V_beta,mathcal O_Y|_(Ycap V_beta))to (V_beta,mathcal O_X|_V_beta)$, 设它们在$Ycap V_alphacap V_beta$上的限制分别是闭浸入$f',g':(Ycap V_alphacap V_beta,mathcal O_Y|_(Ycap V_alphacap V_beta))to (V_alphacap V_beta,mathcal O_X|_(V_alphacap V_beta))$，则$mathcal O_X|_(V_alphacap V_beta)$的定义了闭子概形$(Ycap V_alphacap V_beta,mathcal O_Y|_(Ycap V_alphacap V_beta))$的理想层可以根据$f'$来取，也可以根据$g'$来取，怎么知道它们是一样的呢？即$mathcal F|_(V_alphacap V_beta)$到底怎样来确定呢?
algebraic-geometry
algebraic-geometry
asked Mar 28 at 20:10
Born to be proudBorn to be proud
862510
asked Mar 28 at 20:10
Born to be proudBorn to be proud
862510
edited Mar 28 at 20:47
Born to be proud
asked Mar 28 at 20:10
Born to be proudBorn to be proud
862510
asked Mar 28 at 20:10
Born to be proudBorn to be proud
862510
asked Mar 28 at 20:10
Born to be proudBorn to be proud
862510
862510
put on hold as unclear what you're asking by quid♦ Mar 30 at 14:32
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
put on hold as unclear what you're asking by quid♦ Mar 30 at 14:32
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
3
$begingroup$
You should consider asking your question in english on a website full of english speaking people.
$endgroup$
– Algebear
Mar 28 at 21:01
add a comment |
3
$begingroup$
You should consider asking your question in english on a website full of english speaking people.
$endgroup$
– Algebear
Mar 28 at 21:01
3
3
$begingroup$
You should consider asking your question in english on a website full of english speaking people.
$endgroup$
– Algebear
Mar 28 at 21:01
$begingroup$
You should consider asking your question in english on a website full of english speaking people.
$endgroup$
– Algebear
Mar 28 at 21:01
add a comment |
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$begingroup$
You should consider asking your question in english on a website full of english speaking people.
$endgroup$
– Algebear
Mar 28 at 21:01