61 More Étale Cohomology

• Section 61.1: Introduction
• Section 61.2: Growing sections
  • Lemma 61.2.1
  • Lemma 61.2.2
• Section 61.3: Sections with compact support
  • Lemma 61.3.1
  • Lemma 61.3.2
  • Definition 61.3.3
  • Lemma 61.3.4
  • Remark 61.3.5: Covariance with respect to open embeddings
  • Lemma 61.3.6
  • Definition 61.3.7
  • Lemma 61.3.8
  • Remark 61.3.9: Open embeddings and compactly supported sections
  • Lemma 61.3.10
  • Lemma 61.3.11
  • Lemma 61.3.12
  • Lemma 61.3.13
  • Remark 61.3.14
  • Lemma 61.3.15
  • Lemma 61.3.16
  • Lemma 61.3.17
• Section 61.4: Sections with finite support
  • Equation 61.4.0.1
  • Equation 61.4.0.2
  • Lemma 61.4.1
  • Lemma 61.4.2
  • Lemma 61.4.3
  • Definition 61.4.4
  • Lemma 61.4.5
  • Remark 61.4.6: Covariance with respect to open embeddings
  • Lemma 61.4.7
  • Remark 61.4.8: Alternative construction
  • Remark 61.4.9
  • Lemma 61.4.10
  • Lemma 61.4.11
  • Lemma 61.4.12
• Section 61.5: Weightings and trace maps for locally quasi-finite morphisms
  • Lemma 61.5.1
  • Lemma 61.5.2
  • Lemma 61.5.3
  • Lemma 61.5.4
  • Example 61.5.5: Trace for flat quasi-finite
  • Remark 61.5.6
  • Example 61.5.7: Trace for quasi-finite over normal
• Section 61.6: Upper shriek for locally quasi-finite morphisms
  • Lemma 61.6.1
  • Lemma 61.6.2
  • Lemma 61.6.3
  • Lemma 61.6.4
  • Lemma 61.6.5
  • Remark 61.6.6
• Section 61.7: Derived upper shriek for locally quasi-finite morphisms
  • Lemma 61.7.1
  • Remark 61.7.2
  • Lemma 61.7.3
  • Lemma 61.7.4
• Section 61.8: Preliminaries to derived lower shriek via compactifications
  • Lemma 61.8.1
  • Lemma 61.8.2
  • Lemma 61.8.3
  • Remark 61.8.4
  • Lemma 61.8.5
  • Lemma 61.8.6
• Section 61.9: Derived lower shriek via compactifications
  • Lemma 61.9.1
  • Lemma 61.9.2
  • Lemma 61.9.3
  • Lemma 61.9.4
• Section 61.10: Properties of derived lower shriek
  • Lemma 61.10.1
  • Lemma 61.10.2
  • Lemma 61.10.3
  • Lemma 61.10.4
  • Lemma 61.10.5
  • Lemma 61.10.6
  • Lemma 61.10.7
  • Remark 61.10.8
  • Remark 61.10.9
• Section 61.11: Derived upper shriek
  • Lemma 61.11.1
  • Lemma 61.11.2
  • Lemma 61.11.3
  • Lemma 61.11.4
    • Equation 61.11.4.1
  • Lemma 61.11.5
  • Lemma 61.11.6
  • Lemma 61.11.7
  • Remark 61.11.8
• Section 61.12: Compactly supported cohomology
  • Definition 61.12.1
  • Lemma 61.12.2
  • Lemma 61.12.3
  • Lemma 61.12.4
  • Remark 61.12.5: Covariance of compactly supported cohomology
• Section 61.13: A constructibility result
  • Lemma 61.13.1
  • Lemma 61.13.2
  • Lemma 61.13.3
• Section 61.14: Complexes with constructible cohomology
  • Lemma 61.14.1
  • Lemma 61.14.2
  • Lemma 61.14.3
  • Lemma 61.14.4
  • Theorem 61.14.5
• Section 61.15: Applications
  • Lemma 61.15.1
  • Proposition 61.15.2
• Section 61.16: More on derived upper shriek
  • Lemma 61.16.1