deformations of $p$-divisible groups Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)What does Tate mean when he wrote “Higher dimensional class field theory” in the new preface to the Artin-Tate book and another question?Why is there “no analogue of $2ipi$ in $mathbf C_p$”?Deformations of complex structures and Deformations in quantum algebraj-invariants for an elliptic curve over the Artin ring $k[t]/(t^n)$.Book recommendations for a large number of topicsA fundamental tool used in the study of Diophantine equations…How is the smoothness of the space of deformations related to unobstructedness?Modular forms from scheme perspectivePhD thesis planIf the number of points of two elliptic curves are close enough, then they are equal?

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deformations of $p$-divisible groups



Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)What does Tate mean when he wrote “Higher dimensional class field theory” in the new preface to the Artin-Tate book and another question?Why is there “no analogue of $2ipi$ in $mathbf C_p$”?Deformations of complex structures and Deformations in quantum algebraj-invariants for an elliptic curve over the Artin ring $k[t]/(t^n)$.Book recommendations for a large number of topicsA fundamental tool used in the study of Diophantine equations…How is the smoothness of the space of deformations related to unobstructedness?Modular forms from scheme perspectivePhD thesis planIf the number of points of two elliptic curves are close enough, then they are equal?










0












$begingroup$


I've been wanting to learn more about the deformation theory of $p$-divisible groups and was looking for some references. I have looked into stuff like the Serre-Tate theorem with Katz's Serre-Tate local moduli, but I don't know where else to look for information. In Scholze's $p$-adic geometry, he mentions stuff like Rapoport-Zink spaces and period maps (at least for the case of elliptic curves). Can anyone suggest where to go next?










share|cite|improve this question









$endgroup$











  • $begingroup$
    there is an annals of mathematics studies volume on this topic by Rapoport and Zink (available from either Rapoport's or Zink's website, dont remember which). There is also an appendix to one of Scholze's papers by Rapoport, I think. Maybe Weinstein's notes on Lubin--Tate theory would also be helpful.
    $endgroup$
    – Aknazar Kazhymurat
    Mar 29 at 11:42















0












$begingroup$


I've been wanting to learn more about the deformation theory of $p$-divisible groups and was looking for some references. I have looked into stuff like the Serre-Tate theorem with Katz's Serre-Tate local moduli, but I don't know where else to look for information. In Scholze's $p$-adic geometry, he mentions stuff like Rapoport-Zink spaces and period maps (at least for the case of elliptic curves). Can anyone suggest where to go next?










share|cite|improve this question









$endgroup$











  • $begingroup$
    there is an annals of mathematics studies volume on this topic by Rapoport and Zink (available from either Rapoport's or Zink's website, dont remember which). There is also an appendix to one of Scholze's papers by Rapoport, I think. Maybe Weinstein's notes on Lubin--Tate theory would also be helpful.
    $endgroup$
    – Aknazar Kazhymurat
    Mar 29 at 11:42













0












0








0





$begingroup$


I've been wanting to learn more about the deformation theory of $p$-divisible groups and was looking for some references. I have looked into stuff like the Serre-Tate theorem with Katz's Serre-Tate local moduli, but I don't know where else to look for information. In Scholze's $p$-adic geometry, he mentions stuff like Rapoport-Zink spaces and period maps (at least for the case of elliptic curves). Can anyone suggest where to go next?










share|cite|improve this question









$endgroup$




I've been wanting to learn more about the deformation theory of $p$-divisible groups and was looking for some references. I have looked into stuff like the Serre-Tate theorem with Katz's Serre-Tate local moduli, but I don't know where else to look for information. In Scholze's $p$-adic geometry, he mentions stuff like Rapoport-Zink spaces and period maps (at least for the case of elliptic curves). Can anyone suggest where to go next?







algebraic-geometry reference-request p-adic-number-theory moduli-space deformation-theory






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Mar 25 at 19:02









Ryan KeletiRyan Keleti

1719




1719











  • $begingroup$
    there is an annals of mathematics studies volume on this topic by Rapoport and Zink (available from either Rapoport's or Zink's website, dont remember which). There is also an appendix to one of Scholze's papers by Rapoport, I think. Maybe Weinstein's notes on Lubin--Tate theory would also be helpful.
    $endgroup$
    – Aknazar Kazhymurat
    Mar 29 at 11:42
















  • $begingroup$
    there is an annals of mathematics studies volume on this topic by Rapoport and Zink (available from either Rapoport's or Zink's website, dont remember which). There is also an appendix to one of Scholze's papers by Rapoport, I think. Maybe Weinstein's notes on Lubin--Tate theory would also be helpful.
    $endgroup$
    – Aknazar Kazhymurat
    Mar 29 at 11:42















$begingroup$
there is an annals of mathematics studies volume on this topic by Rapoport and Zink (available from either Rapoport's or Zink's website, dont remember which). There is also an appendix to one of Scholze's papers by Rapoport, I think. Maybe Weinstein's notes on Lubin--Tate theory would also be helpful.
$endgroup$
– Aknazar Kazhymurat
Mar 29 at 11:42




$begingroup$
there is an annals of mathematics studies volume on this topic by Rapoport and Zink (available from either Rapoport's or Zink's website, dont remember which). There is also an appendix to one of Scholze's papers by Rapoport, I think. Maybe Weinstein's notes on Lubin--Tate theory would also be helpful.
$endgroup$
– Aknazar Kazhymurat
Mar 29 at 11:42










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