84:• algebro-geometric dictionary • always together: nilpotent schemes • smoothness: the local ring • are you normal? • point over a point or visit to Galois • algebraic numbers: the smallest schemes • cross-breeding: base change •
166:
action on Hodge cohomology • Kodaira-Spencer: calculating the family dimension • how's hard to be algebraic • more elliptic bundles • four-dimensional topology and integer forms (why signature of Calabi-Yau
223:• abelian vs. anabelian • simplest coverings • The Mapping Group and Other Adventures • they are arithmetical! • quest for absolute (
47:• fundamental groups • algebraic transformations • everything is plain • one-dimensional complex variety • morphisms to
100:
Here are some fairly standard topics that are covered in excellent notes (advised to be read by students independently during or after the course):
184:• coherent sheaves are complexes of bundles • why derived categories? • six operations • generators on
61:• natural immersion • how many rational points? • Abel-Jacobi • la mer était étale... •
91:: knots without knots • exotic species: non-algebraicity • wild schemes: infinity • why topoi? •
76:• dialogue about division • finite fields • Frobenius morphism • Galois correspondence •
17:
212:-functions • MHS • abelian motives • conjectures •
123:
155:: eternal curse or great gift? • explicit equation: calculating
227:) • Galois-Teichmuller • Grothendieck-Kontsevich •
151:(with pictures) • resolution of singularities •
27:
Algebraic
Geometry for Dummies (with pictures and dialogues)
159:• hypersections and their fundamental group •
190:• Fourier transformation • D-modules •
114:
35:• classical conics • curve=equation over
8:
41:• genus calculations • covering
201:• cut and paste • counting
173:variety must be divisible by 8) •
7:
24:
53:• algebraic forms •
107:: L'vovsky • Hartschorne
1:
181:or Looking Inside The Mirror
218:Grothendieck, Galois, Group
124:Stein notes on Ribet course
66:What's hidden behind 2x2=4?
242:
179:Derived, Differential, Dao
208:-rational points •
57:sphere is round •
196:Motives, Mixed, Mystery
138:or The inner life of K3
136:Kummer, Kähler, Kodaira
198:or New Age Arithmetics
220:or Dessins d'Enfants
115:J. Milne's home page
32:Understanding Curves
69:• picture of
18:User:Ilya (usurped)
141:• orbifold
233:
105:Sheaf Cohomology
241:
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111:Elliptic Curves
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120:Modular Forms
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96:Missing Parts
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81:Schematic zoo
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130:The Alphabet
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58:
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37:
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143:E×E/
86:Spec
71:Spec
59:Jac X
16:<
206:_p^n
225:Gal
153:K=0
55:the
161:sl
122::
113::
210:L
204:F
187:P
170:?
163:2
157:K
148:2
145:Z
88:Z
73:Z
50:P
44:P
38:C
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