Stacks Project -- Overview

Tag 03BP points to Section 45.1: Introduction
Tag 03BQ points to Section 45.2: Conventions
Tag 03BR points to Section 45.3: Separation axioms
- Tag 03BS points to Definition 45.3.1
- Tag 03DY points to Lemma 45.3.2
Tag 03BT points to Section 45.4: Points of algebraic spaces
- Tag 03BU points to Definition 45.4.1
- Tag 03BV points to Lemma 45.4.2
- Tag 03H4 points to Lemma 45.4.3
- Tag 03H5 points to Lemma 45.4.4
- Tag 03BW points to Lemma 45.4.5
- Tag 03BX points to Lemma 45.4.6
- Tag 03BY points to Definition 45.4.7
- Tag 03BZ points to Lemma 45.4.8
- Tag 03IE points to Lemma 45.4.9
- Tag 06NF points to Lemma 45.4.10
- Tag 03E1 points to Lemma 45.4.11
Tag 03E2 points to Section 45.5: Quasi-compact spaces
- Tag 03E3 points to Definition 45.5.1
- Tag 03E4 points to Lemma 45.5.2
- Tag 040T points to Lemma 45.5.3
- Tag 03IO points to Example 45.5.4
- Tag 04NN points to Lemma 45.5.5
Tag 03FW points to Section 45.6: Special coverings
- Tag 03FX points to Lemma 45.6.1
- Tag 03FY points to Lemma 45.6.2
- Tag 03H6 points to Lemma 45.6.3
- Tag 03FZ points to Lemma 45.6.4
- Tag 07S4 points to Lemma 45.6.5
- Tag 03W7 points to Lemma 45.6.6
Tag 03E5 points to Section 45.7: Properties of Spaces defined by properties of schemes
- Tag 03E8 points to Lemma 45.7.1
- Tag 03E6 points to Definition 45.7.2
- Tag 03E7 points to Remark 45.7.3
- Tag 04N2 points to Lemma 45.7.4
- Tag 04RC points to Definition 45.7.5
Tag 04N3 points to Section 45.8: Dimension at a point
- Tag 04N5 points to Definition 45.8.1
- Tag 04N6 points to Definition 45.8.2
Tag 03IP points to Section 45.9: Reduced spaces
- Tag 07TW points to Lemma 45.9.1
- Tag 03IQ points to Lemma 45.9.2
- Tag 03JJ points to Lemma 45.9.3
- Tag 047X points to Definition 45.9.4
Tag 03JG points to Section 45.10: The schematic locus
- Tag 03JH points to Lemma 45.10.1
- Tag 06NG points to Lemma 45.10.2
- Tag 06NH points to Proposition 45.10.3
Tag 07S5 points to Section 45.11: Obtaining a scheme
- Tag 07S6 points to Proposition 45.11.1
- Tag 07S7 points to Lemma 45.11.2
Tag 06NI points to Section 45.12: Points on quasi-separated spaces
- Tag 03DZ points to Lemma 45.12.1
- Tag 03E0 points to Remark 45.12.2
- Tag 03IJ points to Lemma 45.12.3
- Tag 06NJ points to Lemma 45.12.4
Tag 03FQ points to Section 45.13: Étale morphisms of algebraic spaces
- Tag 03EC points to Lemma 45.13.1
- Tag 03FR points to Definition 45.13.2
- Tag 03FS points to Lemma 45.13.3
- Tag 03FT points to Lemma 45.13.4
- Tag 03FU points to Lemma 45.13.5
- Tag 03FV points to Lemma 45.13.6
- Tag 03IR points to Lemma 45.13.7
- Tag 03KX points to Lemma 45.13.8
Tag 03W8 points to Section 45.14: Spaces and fpqc coverings
- Tag 03W9 points to Lemma 45.14.1
- Tag 03WA points to Lemma 45.14.2
- Tag 03WB points to Lemma 45.14.3
- Tag 03WC points to Remark 45.14.4
Tag 03EB points to Section 45.15: The étale site of an algebraic space
- Tag 03ED points to Definition 45.15.1
- Tag 03G0 points to Definition 45.15.2
- Tag 03G1 points to Lemma 45.15.3
- Tag 03H7 points to Remark 45.15.4
- Tag 04JS points to Lemma 45.15.5
- Tag 04JT points to Definition 45.15.6
- Tag 03G2 points to Lemma 45.15.7
- Tag 03G3 points to Definition 45.15.8
- Tag 03G4 points to Lemma 45.15.9
- Tag 03LP points to Lemma 45.15.10
  - Tag 03LQ points to Equation 45.15.10.1
- Tag 03LR points to Lemma 45.15.11
- Tag 03LS points to Lemma 45.15.12
- Tag 05YY points to Lemma 45.15.13
Tag 04JU points to Section 45.16: Points of the small étale site
- Tag 0486 points to Definition 45.16.1
- Tag 04JV points to Definition 45.16.2
- Tag 04JW points to Lemma 45.16.3
- Tag 05VN points to Lemma 45.16.4
- Tag 04JX points to Lemma 45.16.5
- Tag 04JY points to Definition 45.16.6
  - Tag 04JZ points to Equation 45.16.6.1
- Tag 04K0 points to Lemma 45.16.7
- Tag 04K1 points to Lemma 45.16.8
- Tag 04K2 points to Lemma 45.16.9
- Tag 04K3 points to Remark 45.16.10
- Tag 04K4 points to Remark 45.16.11
- Tag 04K5 points to Theorem 45.16.12
- Tag 04K6 points to Lemma 45.16.13
Tag 04K7 points to Section 45.17: Supports of abelian sheaves
- Tag 04K8 points to Lemma 45.17.1
- Tag 04K9 points to Lemma 45.17.2
- Tag 04KA points to Definition 45.17.3
- Tag 04KB points to Lemma 45.17.4
- Tag 04KC points to Lemma 45.17.5
Tag 04KD points to Section 45.18: The structure sheaf of an algebraic space
- Tag 03G6 points to Lemma 45.18.1
- Tag 03G7 points to Definition 45.18.2
- Tag 03G8 points to Lemma 45.18.3
Tag 04KE points to Section 45.19: Stalks of the structure sheaf
- Tag 04KF points to Lemma 45.19.1
- Tag 04KG points to Definition 45.19.2
- Tag 04KH points to Lemma 45.19.3
Tag 04N7 points to Section 45.20: Dimension of local rings
- Tag 04N9 points to Lemma 45.20.1
- Tag 04NA points to Definition 45.20.2
Tag 06DJ points to Section 45.21: Local irreducibility
- Tag 06DK points to Lemma 45.21.1
- Tag 06DL points to Definition 45.21.2
- Tag 06DM points to Lemma 45.21.3
Tag 03E9 points to Section 45.22: Noetherian spaces
- Tag 03EA points to Definition 45.22.1
- Tag 04ZF points to Lemma 45.22.2
- Tag 04ZG points to Lemma 45.22.3
- Tag 08AH points to Lemma 45.22.4
Tag 06LP points to Section 45.23: Regular algebraic spaces
- Tag 06LQ points to Lemma 45.23.1
Tag 03LT points to Section 45.24: Sheaves of modules on algebraic spaces
- Tag 03LU points to Equation 45.24.0.1
- Tag 03LV points to Lemma 45.24.1
  - Tag 03LW points to Equation 45.24.1.1
- Tag 03LX points to Lemma 45.24.2
- Tag 03LY points to Lemma 45.24.3
Tag 04LX points to Section 45.25: Étale localization
- Tag 04LY points to Equation 45.25.0.1
- Tag 04LZ points to Equation 45.25.0.2
- Tag 04M0 points to Equation 45.25.0.3
- Tag 04M1 points to Equation 45.25.0.4
- Tag 04M2 points to Equation 45.25.0.5
- Tag 04M3 points to Equation 45.25.0.6
- Tag 04M4 points to Lemma 45.25.1
- Tag 04M5 points to Lemma 45.25.2
Tag 04KI points to Section 45.26: Recovering morphisms
- Tag 04KJ points to Lemma 45.26.1
- Tag 04KK points to Lemma 45.26.2
- Tag 04M6 points to Lemma 45.26.3
- Tag 04KL points to Theorem 45.26.4
- Tag 05YZ points to Lemma 45.26.5
Tag 03G5 points to Section 45.27: Quasi-coherent sheaves on algebraic spaces
- Tag 03G9 points to Definition 45.27.1
- Tag 03GA points to Lemma 45.27.2
- Tag 03LZ points to Lemma 45.27.3
- Tag 05VP points to Lemma 45.27.4
- Tag 05VQ points to Lemma 45.27.5
- Tag 03M0 points to Lemma 45.27.6
- Tag 03M1 points to Lemma 45.27.7
Tag 05VR points to Section 45.28: Properties of modules
Tag 060P points to Section 45.29: Locally projective modules
- Tag 060Q points to Lemma 45.29.1
- Tag 060R points to Definition 45.29.2
- Tag 060S points to Lemma 45.29.3
Tag 03M2 points to Section 45.30: Quasi-coherent sheaves and presentations
- Tag 03M3 points to Proposition 45.30.1
- Tag 077V points to Proposition 45.30.2
Tag 05Z0 points to Section 45.31: Morphisms towards schemes
- Tag 05Z1 points to Lemma 45.31.1
Tag 071R points to Section 45.32: Quotients by free actions
- Tag 071S points to Lemma 45.32.1

The Stacks Project

Tree view for Chapter 45: Properties of Algebraic Spaces